405677404 has 72 divisors (see below), whose sum is σ = 838923120. Its totient is φ = 170016000.

The previous prime is 405677347. The next prime is 405677449. The reversal of 405677404 is 404776504.

It is a super-2 number, since 2×405677404² = 329148312232358432, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 674704 + ... + 675304.

It is an arithmetic number, because the mean of its divisors is an integer number (11651710).

Almost surely, 2^405677404 is an apocalyptic number.

405677404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405677404 is an abundant number, since it is smaller than the sum of its proper divisors (433245716).

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

405677404 is a wasteful number, since it uses less digits than its factorization.

405677404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 405677404 is about 20141.4350034947. The cubic root of 405677404 is about 740.2758917707.

The spelling of 405677404 in words is "four hundred five million, six hundred seventy-seven thousand, four hundred four".