407878920 has 48 divisors (see below), whose sum is σ = 1325607660. Its totient is φ = 108767616.

The previous prime is 407878907. The next prime is 407878969. The reversal of 407878920 is 29878704.

It can be written as a sum of positive squares in 2 ways, for example, as 406183716 + 1695204 = 20154^2 + 1302^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566139 + ... + 566858.

Almost surely, 2^407878920 is an apocalyptic number.

407878920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407878920 is an abundant number, since it is smaller than the sum of its proper divisors (917728740).

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

407878920 is a wasteful number, since it uses less digits than its factorization.

407878920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133014 (or 1133007 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 407878920 is about 20196.0124777145. The cubic root of 407878920 is about 741.6125778563.

The spelling of 407878920 in words is "four hundred seven million, eight hundred seventy-eight thousand, nine hundred twenty".