407904120 has 256 divisors, whose sum is σ = 1551312000. Its totient is φ = 94445568.

The previous prime is 407904089. The next prime is 407904131. The reversal of 407904120 is 21409704.

It is a happy number.

It is a super-2 number, since 2×407904120² = 332771542225948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237826 + ... + 239534.

Almost surely, 2^407904120 is an apocalyptic number.

407904120 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 407904120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775656000).

407904120 is an abundant number, since it is smaller than the sum of its proper divisors (1143407880).

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

407904120 is a wasteful number, since it uses less digits than its factorization.

407904120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 407904120 is about 20196.6363536110. The cubic root of 407904120 is about 741.6278505685.

The spelling of 407904120 in words is "four hundred seven million, nine hundred four thousand, one hundred twenty".