457521792 has 128 divisors (see below), whose sum is σ = 1495858560. Its totient is φ = 120655872.

The previous prime is 457521791. The next prime is 457521797. The reversal of 457521792 is 297125754.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (457521791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28398 + ... + 41490.

It is an arithmetic number, because the mean of its divisors is an integer number (11686395).

Almost surely, 2^457521792 is an apocalyptic number.

457521792 is a gapful number since it is divisible by the number (42) 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 457521792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747929280).

457521792 is an abundant number, since it is smaller than the sum of its proper divisors (1038336768).

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

457521792 is a wasteful number, since it uses less digits than its factorization.

457521792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13130 (or 13118 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 457521792 is about 21389.7590449261. The cubic root of 457521792 is about 770.5555062642. Note that the first 4 decimals are identical.

The spelling of 457521792 in words is "four hundred fifty-seven million, five hundred twenty-one thousand, seven hundred ninety-two".