407473840 has 20 divisors (see below), whose sum is σ = 947376864. Its totient is φ = 162989504.

The previous prime is 407473823. The next prime is 407473841. The reversal of 407473840 is 48374704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 407473840.

It is not an unprimeable number, because it can be changed into a prime (407473841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2546632 + ... + 2546791.

Almost surely, 2^407473840 is an apocalyptic number.

407473840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407473840 is an abundant number, since it is smaller than the sum of its proper divisors (539903024).

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

407473840 is a wasteful number, since it uses less digits than its factorization.

407473840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093436 (or 5093430 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 407473840 is about 20185.9812741417. The cubic root of 407473840 is about 741.3669886928.

The spelling of 407473840 in words is "four hundred seven million, four hundred seventy-three thousand, eight hundred forty".