407473920 has 432 divisors, whose sum is σ = 1673398272. Its totient is φ = 89579520.

The previous prime is 407473849. The next prime is 407473921. The reversal of 407473920 is 29374704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407473921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2499759 + ... + 2499921.

Almost surely, 2^407473920 is an apocalyptic number.

407473920 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 407473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836699136).

407473920 is an abundant number, since it is smaller than the sum of its proper divisors (1265924352).

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

407473920 is a wasteful number, since it uses less digits than its factorization.

407473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 407473920 is about 20185.9832557148. The cubic root of 407473920 is about 741.3670372108.

The spelling of 407473920 in words is "four hundred seven million, four hundred seventy-three thousand, nine hundred twenty".