457961040 has 200 divisors, whose sum is σ = 1646088840. Its totient is φ = 117863424.

The previous prime is 457961039. The next prime is 457961059. The reversal of 457961040 is 40169754.

It can be written as a sum of positive squares in 4 ways, for example, as 148060224 + 309900816 = 12168^2 + 17604^2 .

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 = 457960986 and 457961004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186702 + ... + 189138.

Almost surely, 2^457961040 is an apocalyptic number.

457961040 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 457961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823044420).

457961040 is an abundant number, since it is smaller than the sum of its proper divisors (1188127800).

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

457961040 is a wasteful number, since it uses less digits than its factorization.

457961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 457961040 is about 21400.0242990516. The cubic root of 457961040 is about 770.8020203561.

The spelling of 457961040 in words is "four hundred fifty-seven million, nine hundred sixty-one thousand, forty".