407469920 has 144 divisors (see below), whose sum is σ = 1140214320. Its totient is φ = 136688640.

The previous prime is 407469917. The next prime is 407469929. The reversal of 407469920 is 29964704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407469929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250871 + ... + 252489.

It is an arithmetic number, because the mean of its divisors is an integer number (7918155).

Almost surely, 2^407469920 is an apocalyptic number.

407469920 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 407469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570107160).

407469920 is an abundant number, since it is smaller than the sum of its proper divisors (732744400).

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

407469920 is a wasteful number, since it uses less digits than its factorization.

407469920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 407469920 is about 20185.8841768202. The cubic root of 407469920 is about 741.3646113068.

The spelling of 407469920 in words is "four hundred seven million, four hundred sixty-nine thousand, nine hundred twenty".