409303152 has 80 divisors (see below), whose sum is σ = 1243982880. Its totient is φ = 128406528.

The previous prime is 409303133. The next prime is 409303211. The reversal of 409303152 is 251303904.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 20523 + ... + 35210.

It is an arithmetic number, because the mean of its divisors is an integer number (15549786).

Almost surely, 2^409303152 is an apocalyptic number.

It is an amenable number.

409303152 is an abundant number, since it is smaller than the sum of its proper divisors (834679728).

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

409303152 is a wasteful number, since it uses less digits than its factorization.

409303152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55767 (or 55755 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 409303152 is about 20231.2419786824. The cubic root of 409303152 is about 742.4747629418.

The spelling of 409303152 in words is "four hundred nine million, three hundred three thousand, one hundred fifty-two".