405673920 has 392 divisors, whose sum is σ = 1519147584. Its totient is φ = 103016448.

The previous prime is 405673903. The next prime is 405673943. The reversal of 405673920 is 29376504.

405673920 is a `hidden beast` number, since 4 + 0 + 567 + 3 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8631337 + ... + 8631383.

Almost surely, 2^405673920 is an apocalyptic number.

405673920 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 405673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759573792).

405673920 is an abundant number, since it is smaller than the sum of its proper divisors (1113473664).

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

405673920 is an equidigital number, since it uses as much as digits as its factorization.

405673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 405673920 is about 20141.3485149332. The cubic root of 405673920 is about 740.2737725757.

The spelling of 405673920 in words is "four hundred five million, six hundred seventy-three thousand, nine hundred twenty".