407342880 has 432 divisors, whose sum is σ = 1694032704. Its totient is φ = 88704000.

The previous prime is 407342869. The next prime is 407342891. The reversal of 407342880 is 88243704.

It is an interprime number because it is at equal distance from previous prime (407342869) and next prime (407342891).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1622755 + ... + 1623005.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2^407342880 is an apocalyptic number.

407342880 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 407342880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847016352).

407342880 is an abundant number, since it is smaller than the sum of its proper divisors (1286689824).

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

407342880 is a wasteful number, since it uses less digits than its factorization.

407342880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 407342880 is about 20182.7371780936. The cubic root of 407342880 is about 741.2875563347.

The spelling of 407342880 in words is "four hundred seven million, three hundred forty-two thousand, eight hundred eighty".