456440700 has 144 divisors (see below), whose sum is σ = 1385911296. Its totient is φ = 115852800.

The previous prime is 456440669. The next prime is 456440711. The reversal of 456440700 is 7044654.

It is a super-2 number, since 2×456440700² = 416676225232980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528469 + ... + 529331.

It is an arithmetic number, because the mean of its divisors is an integer number (9624384).

Almost surely, 2^456440700 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 456440700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692955648).

456440700 is an abundant number, since it is smaller than the sum of its proper divisors (929470596).

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

456440700 is a wasteful number, since it uses less digits than its factorization.

456440700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 456440700 is about 21364.4728462932. The cubic root of 456440700 is about 769.9481046714.

The spelling of 456440700 in words is "four hundred fifty-six million, four hundred forty thousand, seven hundred".