407954880 has 140 divisors (see below), whose sum is σ = 1451259480. Its totient is φ = 108781056.

The previous prime is 407954873. The next prime is 407954891. The reversal of 407954880 is 88459704.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18051 + ... + 33789.

Almost surely, 2^407954880 is an apocalyptic number.

407954880 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 407954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725629740).

407954880 is an abundant number, since it is smaller than the sum of its proper divisors (1043304600).

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

407954880 is a wasteful number, since it uses less digits than its factorization.

407954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15768 (or 15749 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 407954880 is about 20197.8929594153. The cubic root of 407954880 is about 741.6586122651.

The spelling of 407954880 in words is "four hundred seven million, nine hundred fifty-four thousand, eight hundred eighty".