406482720 has 96 divisors (see below), whose sum is σ = 1463349888. Its totient is φ = 92909568.

The previous prime is 406482719. The next prime is 406482721. The reversal of 406482720 is 27284604.

It is an interprime number because it is at equal distance from previous prime (406482719) and next prime (406482721).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (406482721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57129 + ... + 63848.

It is an arithmetic number, because the mean of its divisors is an integer number (15243228).

Almost surely, 2^406482720 is an apocalyptic number.

406482720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406482720 is an abundant number, since it is smaller than the sum of its proper divisors (1056867168).

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

406482720 is a wasteful number, since it uses less digits than its factorization.

406482720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121002 (or 120994 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 406482720 is about 20161.4166168948. The cubic root of 406482720 is about 740.7654120721.

The spelling of 406482720 in words is "four hundred six million, four hundred eighty-two thousand, seven hundred twenty".