42453600 has 324 divisors, whose sum is σ = 169653204. Its totient is φ = 9192960.

The previous prime is 42453589. The next prime is 42453611. The reversal of 42453600 is 635424.

It is an interprime number because it is at equal distance from previous prime (42453589) and next prime (42453611).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2234391 + ... + 2234409.

It is an arithmetic number, because the mean of its divisors is an integer number (523621).

Almost surely, 2^42453600 is an apocalyptic number.

42453600 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 42453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84826602).

42453600 is an abundant number, since it is smaller than the sum of its proper divisors (127199604).

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

42453600 is a wasteful number, since it uses less digits than its factorization.

42453600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42453600 is about 6515.6427158033. The cubic root of 42453600 is about 348.8495559868.

Multiplying 42453600 by its sum of digits (24), we get a square (1018886400 = 31920²).

42453600 divided by its sum of digits (24) gives a square (1768900 = 1330²).

The spelling of 42453600 in words is "forty-two million, four hundred fifty-three thousand, six hundred".