457262820 has 144 divisors (see below), whose sum is σ = 1644010368. Its totient is φ = 104509440.

The previous prime is 457262809. The next prime is 457262833. The reversal of 457262820 is 28262754.

457262820 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 628 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27300 + ... + 40740.

Almost surely, 2^457262820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457262820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822005184).

457262820 is an abundant number, since it is smaller than the sum of its proper divisors (1186747548).

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

457262820 is a wasteful number, since it uses less digits than its factorization.

457262820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13472 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 457262820 is about 21383.7045434134. The cubic root of 457262820 is about 770.4100924523.

The spelling of 457262820 in words is "four hundred fifty-seven million, two hundred sixty-two thousand, eight hundred twenty".