407470440 has 128 divisors (see below), whose sum is σ = 1322697600. Its totient is φ = 99824640.

The previous prime is 407470439. The next prime is 407470457. The reversal of 407470440 is 44074704.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 407470398 and 407470407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419155 + ... + 420125.

It is an arithmetic number, because the mean of its divisors is an integer number (10333575).

Almost surely, 2^407470440 is an apocalyptic number.

407470440 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 407470440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661348800).

407470440 is an abundant number, since it is smaller than the sum of its proper divisors (915227160).

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

407470440 is a wasteful number, since it uses less digits than its factorization.

407470440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 407470440 is about 20185.8970571040. The cubic root of 407470440 is about 741.3649266752.

The spelling of 407470440 in words is "four hundred seven million, four hundred seventy thousand, four hundred forty".