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423410400 = 253252731271
BaseRepresentation
bin11001001111001…
…011101011100000
31002111201110212200
4121033023223200
51331343113100
6110003053200
713330633440
oct3117135340
91074643780
10423410400
111a8005556
12b9971200
136994a0ca
144033a120
1527289e00
hex193cbae0

423410400 has 432 divisors, whose sum is σ = 1767886848. Its totient is φ = 93312000.

The previous prime is 423410399. The next prime is 423410401. The reversal of 423410400 is 4014324.

It is an interprime number because it is at equal distance from previous prime (423410399) and next prime (423410401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423410401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1562265 + ... + 1562535.

Almost surely, 2423410400 is an apocalyptic number.

423410400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883943424).

423410400 is an abundant number, since it is smaller than the sum of its proper divisors (1344476448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423410400 is a wasteful number, since it uses less digits than its factorization.

423410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 423410400 is about 20576.9385478015. The cubic root of 423410400 is about 750.9087650833.

Adding to 423410400 its reverse (4014324), we get a palindrome (427424724).

The spelling of 423410400 in words is "four hundred twenty-three million, four hundred ten thousand, four hundred".