731579940 has 288 divisors, whose sum is σ = 2781192960. Its totient is φ = 151538688.

The previous prime is 731579899. The next prime is 731579969. The reversal of 731579940 is 49975137.

731579940 is a `hidden beast` number, since 7 + 31 + 579 + 9 + 40 = 666.

It is a super-2 number, since 2×731579940² = 1070418417220807200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 966042 + ... + 966798.

It is an arithmetic number, because the mean of its divisors is an integer number (9656920).

Almost surely, 2^731579940 is an apocalyptic number.

731579940 is a gapful number since it is divisible by the number (70) 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 731579940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390596480).

731579940 is an abundant number, since it is smaller than the sum of its proper divisors (2049613020).

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

731579940 is a wasteful number, since it uses less digits than its factorization.

731579940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 731579940 is about 27047.7344707463. The cubic root of 731579940 is about 901.0604536996.

The spelling of 731579940 in words is "seven hundred thirty-one million, five hundred seventy-nine thousand, nine hundred forty".