406261920 has 96 divisors (see below), whose sum is σ = 1355030208. Its totient is φ = 101961728.

The previous prime is 406261909. The next prime is 406261997. The reversal of 406261920 is 29162604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×406261920³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16734 + ... + 33053.

It is an arithmetic number, because the mean of its divisors is an integer number (14114898).

Almost surely, 2^406261920 is an apocalyptic number.

406261920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406261920 is an abundant number, since it is smaller than the sum of its proper divisors (948768288).

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

406261920 is a wasteful number, since it uses less digits than its factorization.

406261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49822 (or 49814 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 406261920 is about 20155.9400673846. The cubic root of 406261920 is about 740.6312607137.

The spelling of 406261920 in words is "four hundred six million, two hundred sixty-one thousand, nine hundred twenty".