413954920 has 32 divisors (see below), whose sum is σ = 971896320. Its totient is φ = 158382400.

The previous prime is 413954911. The next prime is 413954923. The reversal of 413954920 is 29459314.

It is a self number, because there is not a number n which added to its sum of digits gives 413954920.

It is not an unprimeable number, because it can be changed into a prime (413954923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224056 + ... + 225895.

It is an arithmetic number, because the mean of its divisors is an integer number (30371760).

Almost surely, 2^413954920 is an apocalyptic number.

413954920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413954920 is an abundant number, since it is smaller than the sum of its proper divisors (557941400).

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

413954920 is a wasteful number, since it uses less digits than its factorization.

413954920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449985 (or 449981 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 413954920 is about 20345.8821386540. The cubic root of 413954920 is about 745.2769386156.

The spelling of 413954920 in words is "four hundred thirteen million, nine hundred fifty-four thousand, nine hundred twenty".