407225920 has 56 divisors (see below), whose sum is σ = 1001011968. Its totient is φ = 157632000.

The previous prime is 407225887. The next prime is 407225921. The reversal of 407225920 is 29522704.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (407225921) 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, 10606 + ... + 30445.

Almost surely, 2^407225920 is an apocalyptic number.

407225920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407225920 is an abundant number, since it is smaller than the sum of its proper divisors (593786048).

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

407225920 is a wasteful number, since it uses less digits than its factorization.

407225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41099 (or 41089 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 407225920 is about 20179.8394443563. The cubic root of 407225920 is about 741.2166011302.

It can be divided in two parts, 4072 and 25920, that added together give a palindrome (29992).

The spelling of 407225920 in words is "four hundred seven million, two hundred twenty-five thousand, nine hundred twenty".