407720976 has 80 divisors (see below), whose sum is σ = 1173466560. Its totient is φ = 121121280.

The previous prime is 407720953. The next prime is 407721007. The reversal of 407720976 is 679027704.

It is a super-3 number, since 3×407720976³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6831 + ... + 29361.

It is an arithmetic number, because the mean of its divisors is an integer number (14668332).

Almost surely, 2^407720976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407720976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586733280).

407720976 is an abundant number, since it is smaller than the sum of its proper divisors (765745584).

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

407720976 is a wasteful number, since it uses less digits than its factorization.

407720976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22584 (or 22578 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 407720976 is about 20192.1018222472. The cubic root of 407720976 is about 741.5168399843.

The spelling of 407720976 in words is "four hundred seven million, seven hundred twenty thousand, nine hundred seventy-six".