407520960 has 448 divisors, whose sum is σ = 1667865600. Its totient is φ = 81838080.

The previous prime is 407520941. The next prime is 407520979. The reversal of 407520960 is 69025704.

It is an interprime number because it is at equal distance from previous prime (407520941) and next prime (407520979).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2734966 + ... + 2735114.

Almost surely, 2^407520960 is an apocalyptic number.

407520960 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 407520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833932800).

407520960 is an abundant number, since it is smaller than the sum of its proper divisors (1260344640).

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

407520960 is a wasteful number, since it uses less digits than its factorization.

407520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 407520960 is about 20187.1483870308. The cubic root of 407520960 is about 741.3955646509.

The spelling of 407520960 in words is "four hundred seven million, five hundred twenty thousand, nine hundred sixty".