406359480 has 128 divisors (see below), whose sum is σ = 1252480320. Its totient is φ = 105431040.

The previous prime is 406359467. The next prime is 406359497. The reversal of 406359480 is 84953604.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1150984 + ... + 1151336.

Almost surely, 2^406359480 is an apocalyptic number.

406359480 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 406359480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626240160).

406359480 is an abundant number, since it is smaller than the sum of its proper divisors (846120840).

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

406359480 is a wasteful number, since it uses less digits than its factorization.

406359480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 406359480 is about 20158.3600523455. The cubic root of 406359480 is about 740.6905411919.

The spelling of 406359480 in words is "four hundred six million, three hundred fifty-nine thousand, four hundred eighty".