405362880 has 336 divisors, whose sum is σ = 1561027104. Its totient is φ = 99532800.

The previous prime is 405362821. The next prime is 405362887. The reversal of 405362880 is 88263504.

405362880 is a `hidden beast` number, since 40 + 536 + 2 + 8 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405362887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010680 + ... + 1011080.

It is an arithmetic number, because the mean of its divisors is an integer number (4645914).

Almost surely, 2^405362880 is an apocalyptic number.

405362880 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 405362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780513552).

405362880 is an abundant number, since it is smaller than the sum of its proper divisors (1155664224).

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

405362880 is a wasteful number, since it uses less digits than its factorization.

405362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 405362880 is about 20133.6256049426. The cubic root of 405362880 is about 740.0845289367.

The spelling of 405362880 in words is "four hundred five million, three hundred sixty-two thousand, eight hundred eighty".