457777152 has 168 divisors, whose sum is σ = 1513002816. Its totient is φ = 130646016.

The previous prime is 457777129. The next prime is 457777157. The reversal of 457777152 is 251777754.

457777152 is a `hidden beast` number, since 4 + 577 + 7 + 71 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×457777152² = 419119841786462208, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 457777098 and 457777107.

It is not an unprimeable number, because it can be changed into a prime (457777157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515653 + ... + 516539.

Almost surely, 2^457777152 is an apocalyptic number.

457777152 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 457777152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756501408).

457777152 is an abundant number, since it is smaller than the sum of its proper divisors (1055225664).

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

457777152 is an equidigital number, since it uses as much as digits as its factorization.

457777152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 899 counting only the distinct ones).

The product of its digits is 480200, while the sum is 45.

The square root of 457777152 is about 21395.7274239508. The cubic root of 457777152 is about 770.6988382037.

The spelling of 457777152 in words is "four hundred fifty-seven million, seven hundred seventy-seven thousand, one hundred fifty-two".