401579640 has 384 divisors, whose sum is σ = 1685376000. Its totient is φ = 83255040.

The previous prime is 401579603. The next prime is 401579641. The reversal of 401579640 is 46975104.

401579640 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 7 + 9 + 640 = 666.

It is a super-2 number, since 2×401579640² = 322532414525059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 401579595 and 401579604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401579641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914541 + ... + 914979.

It is an arithmetic number, because the mean of its divisors is an integer number (4389000).

Almost surely, 2^401579640 is an apocalyptic number.

401579640 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 401579640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842688000).

401579640 is an abundant number, since it is smaller than the sum of its proper divisors (1283796360).

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

401579640 is a wasteful number, since it uses less digits than its factorization.

401579640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 401579640 is about 20039.4520883182. The cubic root of 401579640 is about 737.7749330210.

The spelling of 401579640 in words is "four hundred one million, five hundred seventy-nine thousand, six hundred forty".