456626240 has 112 divisors (see below), whose sum is σ = 1308201600. Its totient is φ = 148303872.

The previous prime is 456626201. The next prime is 456626299. The reversal of 456626240 is 42626654.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 456626240.

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, 37196 + ... + 47924.

Almost surely, 2^456626240 is an apocalyptic number.

456626240 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 456626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654100800).

456626240 is an abundant number, since it is smaller than the sum of its proper divisors (851575360).

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

456626240 is a wasteful number, since it uses less digits than its factorization.

456626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10772 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 456626240 is about 21368.8146606217. The cubic root of 456626240 is about 770.0524167387.

The spelling of 456626240 in words is "four hundred fifty-six million, six hundred twenty-six thousand, two hundred forty".