456200040 has 32 divisors (see below), whose sum is σ = 1368600480. Its totient is φ = 121653312.

The previous prime is 456200023. The next prime is 456200053. The reversal of 456200040 is 40002654.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1900714 + ... + 1900953.

It is an arithmetic number, because the mean of its divisors is an integer number (42768765).

Almost surely, 2^456200040 is an apocalyptic number.

456200040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456200040 is an abundant number, since it is smaller than the sum of its proper divisors (912400440).

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

456200040 is a wasteful number, since it uses less digits than its factorization.

456200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801681 (or 3801677 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 456200040 is about 21358.8398561345. The cubic root of 456200040 is about 769.8127615798.

Adding to 456200040 its reverse (40002654), we get a palindrome (496202694).

The spelling of 456200040 in words is "four hundred fifty-six million, two hundred thousand, forty".