406351440 has 120 divisors (see below), whose sum is σ = 1488752928. Its totient is φ = 98507520.

The previous prime is 406351409. The next prime is 406351447. The reversal of 406351440 is 44153604.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406351447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17734 + ... + 33573.

Almost surely, 2^406351440 is an apocalyptic number.

406351440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406351440 is an abundant number, since it is smaller than the sum of its proper divisors (1082401488).

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

406351440 is a wasteful number, since it uses less digits than its factorization.

406351440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51337 (or 51328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 406351440 is about 20158.1606303750. The cubic root of 406351440 is about 740.6856561976.

The spelling of 406351440 in words is "four hundred six million, three hundred fifty-one thousand, four hundred forty".