457772040 has 384 divisors, whose sum is σ = 1746662400. Its totient is φ = 106444800.

The previous prime is 457772017. The next prime is 457772087. The reversal of 457772040 is 40277754.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 457771986 and 457772004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4051024 + ... + 4051136.

It is an arithmetic number, because the mean of its divisors is an integer number (4548600).

Almost surely, 2^457772040 is an apocalyptic number.

457772040 is a gapful number since it is divisible by the number (40) 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 457772040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873331200).

457772040 is an abundant number, since it is smaller than the sum of its proper divisors (1288890360).

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

457772040 is a wasteful number, since it uses less digits than its factorization.

457772040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 457772040 is about 21395.6079605138. The cubic root of 457772040 is about 770.6959693936.

The spelling of 457772040 in words is "four hundred fifty-seven million, seven hundred seventy-two thousand, forty".