405474772320 has 192 divisors, whose sum is σ = 1424216364480. Its totient is φ = 107741491200.

The previous prime is 405474772319. The next prime is 405474772337. The reversal of 405474772320 is 23277474504.

405474772320 is a `hidden beast` number, since 4 + 0 + 547 + 4 + 7 + 72 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046910 + ... + 1380930.

It is an arithmetic number, because the mean of its divisors is an integer number (7417793565).

Almost surely, 2^405474772320 is an apocalyptic number.

405474772320 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 405474772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712108182240).

405474772320 is an abundant number, since it is smaller than the sum of its proper divisors (1018741592160).

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

405474772320 is a wasteful number, since it uses less digits than its factorization.

405474772320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334326 (or 334312 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

The spelling of 405474772320 in words is "four hundred five billion, four hundred seventy-four million, seven hundred seventy-two thousand, three hundred twenty".