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464030424 = 2333111383181
BaseRepresentation
bin11011101010001…
…000101011011000
31012100011012002000
4123222020223120
51422242433144
6114013441000
714333123244
oct3352105330
91170135060
10464030424
11218a29a20
1210b4a0160
137519cc20
14458b1424
152ab10769
hex1ba88ad8

464030424 has 256 divisors, whose sum is σ = 1541030400. Its totient is φ = 127526400.

The previous prime is 464030393. The next prime is 464030429. The reversal of 464030424 is 424030464.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464030429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2563614 + ... + 2563794.

It is an arithmetic number, because the mean of its divisors is an integer number (6019650).

Almost surely, 2464030424 is an apocalyptic number.

464030424 is a gapful number since it is divisible by the number (44) 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 464030424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

464030424 is an abundant number, since it is smaller than the sum of its proper divisors (1076999976).

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

464030424 is a wasteful number, since it uses less digits than its factorization.

464030424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 464030424 is about 21541.3654163333. The cubic root of 464030424 is about 774.1922483809.

Adding to 464030424 its reverse (424030464), we get a palindrome (888060888).

The spelling of 464030424 in words is "four hundred sixty-four million, thirty thousand, four hundred twenty-four".