407566480 has 40 divisors (see below), whose sum is σ = 949548600. Its totient is φ = 162690048.

The previous prime is 407566459. The next prime is 407566501. The reversal of 407566480 is 84665704.

407566480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (407566459) and next prime (407566501).

It can be written as a sum of positive squares in 4 ways, for example, as 231526656 + 176039824 = 15216^2 + 13268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×407566480² = 332220871239180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35716 + ... + 45724.

It is an arithmetic number, because the mean of its divisors is an integer number (23738715).

Almost surely, 2^407566480 is an apocalyptic number.

407566480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407566480 is an abundant number, since it is smaller than the sum of its proper divisors (541982120).

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

407566480 is a wasteful number, since it uses less digits than its factorization.

407566480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531 (or 10525 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 407566480 is about 20188.2758055263. The cubic root of 407566480 is about 741.4231681960.

The spelling of 407566480 in words is "four hundred seven million, five hundred sixty-six thousand, four hundred eighty".