457491552 has 96 divisors (see below), whose sum is σ = 1416812544. Its totient is φ = 126489600.

The previous prime is 457491509. The next prime is 457491581. The reversal of 457491552 is 255194754.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 9852 + ... + 31812.

It is an arithmetic number, because the mean of its divisors is an integer number (14758464).

Almost surely, 2^457491552 is an apocalyptic number.

457491552 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 457491552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708406272).

457491552 is an abundant number, since it is smaller than the sum of its proper divisors (959320992).

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

457491552 is a wasteful number, since it uses less digits than its factorization.

457491552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22012 (or 22004 counting only the distinct ones).

The product of its digits is 252000, while the sum is 42.

The square root of 457491552 is about 21389.0521529122. The cubic root of 457491552 is about 770.5385292135.

The spelling of 457491552 in words is "four hundred fifty-seven million, four hundred ninety-one thousand, five hundred fifty-two".