405920520 has 48 divisors (see below), whose sum is σ = 1319242860. Its totient is φ = 108245376.

The previous prime is 405920519. The next prime is 405920527. The reversal of 405920520 is 25029504.

It can be written as a sum of positive squares in 2 ways, for example, as 389904516 + 16016004 = 19746^2 + 4002^2 .

It is a super-3 number, since 3×405920520³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (405920527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563419 + ... + 564138.

Almost surely, 2^405920520 is an apocalyptic number.

405920520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405920520 is an abundant number, since it is smaller than the sum of its proper divisors (913322340).

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

405920520 is a wasteful number, since it uses less digits than its factorization.

405920520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127574 (or 1127567 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 405920520 is about 20147.4693199915. The cubic root of 405920520 is about 740.4237407530.

The spelling of 405920520 in words is "four hundred five million, nine hundred twenty thousand, five hundred twenty".