407060640 has 360 divisors, whose sum is σ = 1673736372. Its totient is φ = 92897280.

The previous prime is 407060639. The next prime is 407060671. The reversal of 407060640 is 46060704.

It can be written as a sum of positive squares in 2 ways, for example, as 396328464 + 10732176 = 19908^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634720 + ... + 635360.

Almost surely, 2^407060640 is an apocalyptic number.

407060640 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 407060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836868186).

407060640 is an abundant number, since it is smaller than the sum of its proper divisors (1266675732).

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

407060640 is a wasteful number, since it uses less digits than its factorization.

407060640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 407060640 is about 20175.7438524581. The cubic root of 407060640 is about 741.1163088423.

The spelling of 407060640 in words is "four hundred seven million, sixty thousand, six hundred forty".