407082480 has 160 divisors (see below), whose sum is σ = 1448907264. Its totient is φ = 92617728.

The previous prime is 407082457. The next prime is 407082509. The reversal of 407082480 is 84280704.

It is a super-2 number, since 2×407082480² = 331432291045900800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491827 + ... + 492653.

Almost surely, 2^407082480 is an apocalyptic number.

407082480 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 407082480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724453632).

407082480 is an abundant number, since it is smaller than the sum of its proper divisors (1041824784).

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

407082480 is a wasteful number, since it uses less digits than its factorization.

407082480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 407082480 is about 20176.2850891833. The cubic root of 407082480 is about 741.1295629614.

The spelling of 407082480 in words is "four hundred seven million, eighty-two thousand, four hundred eighty".