457145052 has 48 divisors (see below), whose sum is σ = 1312829952. Its totient is φ = 120565440.

The previous prime is 457145047. The next prime is 457145069. The reversal of 457145052 is 250541754.

It is a super-3 number, since 3×457145052³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208224 + ... + 210407.

It is an arithmetic number, because the mean of its divisors is an integer number (27350624).

Almost surely, 2^457145052 is an apocalyptic number.

457145052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

457145052 is an abundant number, since it is smaller than the sum of its proper divisors (855684900).

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

457145052 is a wasteful number, since it uses less digits than its factorization.

457145052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418658 (or 418656 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The square root of 457145052 is about 21380.9506804539. The cubic root of 457145052 is about 770.3439470890.

The spelling of 457145052 in words is "four hundred fifty-seven million, one hundred forty-five thousand, fifty-two".