407386980 has 864 divisors, whose sum is σ = 1882258560. Its totient is φ = 69672960.

The previous prime is 407386957. The next prime is 407387003. The reversal of 407386980 is 89683704.

407386980 = 319² + 320² + ... + 1078².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (407386957) and next prime (407387003).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21441411 + ... + 21441429.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^407386980 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 407386980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941129280).

407386980 is an abundant number, since it is smaller than the sum of its proper divisors (1474871580).

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

407386980 is a wasteful number, since it uses less digits than its factorization.

407386980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 407386980 is about 20183.8296663443. The cubic root of 407386980 is about 741.3143066092.

The spelling of 407386980 in words is "four hundred seven million, three hundred eighty-six thousand, nine hundred eighty".