407961240 has 128 divisors (see below), whose sum is σ = 1337886720. Its totient is φ = 99072000.

The previous prime is 407961221. The next prime is 407961251. The reversal of 407961240 is 42169704.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60015 + ... + 66465.

It is an arithmetic number, because the mean of its divisors is an integer number (10452240).

Almost surely, 2^407961240 is an apocalyptic number.

407961240 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 407961240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668943360).

407961240 is an abundant number, since it is smaller than the sum of its proper divisors (929925480).

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

407961240 is a wasteful number, since it uses less digits than its factorization.

407961240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6513 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 407961240 is about 20198.0504009669. The cubic root of 407961240 is about 741.6624663876.

The spelling of 407961240 in words is "four hundred seven million, nine hundred sixty-one thousand, two hundred forty".