401609340 has 240 divisors, whose sum is σ = 1420683264. Its totient is φ = 94089600.

The previous prime is 401609333. The next prime is 401609347. The reversal of 401609340 is 43906104.

It is an interprime number because it is at equal distance from previous prime (401609333) and next prime (401609347).

It is a super-2 number, since 2×401609340² = 322580123950471200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401609347) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 552057 + ... + 552783.

Almost surely, 2^401609340 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 401609340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710341632).

401609340 is an abundant number, since it is smaller than the sum of its proper divisors (1019073924).

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

401609340 is a wasteful number, since it uses less digits than its factorization.

401609340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 401609340 is about 20040.1931128420. The cubic root of 401609340 is about 737.7931206756.

The spelling of 401609340 in words is "four hundred one million, six hundred nine thousand, three hundred forty".