407950080 has 288 divisors, whose sum is σ = 1412812800. Its totient is φ = 100024320.

The previous prime is 407950033. The next prime is 407950091. The reversal of 407950080 is 80059704.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 2737846 + ... + 2737994.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2^407950080 is an apocalyptic number.

407950080 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 407950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706406400).

407950080 is an abundant number, since it is smaller than the sum of its proper divisors (1004862720).

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

407950080 is a wasteful number, since it uses less digits than its factorization.

407950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 407950080 is about 20197.7741347902. The cubic root of 407950080 is about 741.6557034668.

The spelling of 407950080 in words is "four hundred seven million, nine hundred fifty thousand, eighty".