457036272 has 240 divisors, whose sum is σ = 1630467072. Its totient is φ = 116052480.

The previous prime is 457036267. The next prime is 457036277. The reversal of 457036272 is 272630754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457036267) and next prime (457036277).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457036277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520698 + ... + 521574.

Almost surely, 2^457036272 is an apocalyptic number.

457036272 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 457036272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815233536).

457036272 is an abundant number, since it is smaller than the sum of its proper divisors (1173430800).

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

457036272 is a wasteful number, since it uses less digits than its factorization.

457036272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 457036272 is about 21378.4066758961. The cubic root of 457036272 is about 770.2828398162.

The spelling of 457036272 in words is "four hundred fifty-seven million, thirty-six thousand, two hundred seventy-two".