401958540 has 108 divisors (see below), whose sum is σ = 1295382816. Its totient is φ = 100870656.

The previous prime is 401958521. The next prime is 401958541. The reversal of 401958540 is 45859104.

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 = 401958495 and 401958504.

It is not an unprimeable number, because it can be changed into a prime (401958541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48157 + ... + 55883.

Almost surely, 2^401958540 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 401958540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647691408).

401958540 is an abundant number, since it is smaller than the sum of its proper divisors (893424276).

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

401958540 is a wasteful number, since it uses less digits than its factorization.

401958540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7754 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 401958540 is about 20048.9037106771. The cubic root of 401958540 is about 738.0068961834.

The spelling of 401958540 in words is "four hundred one million, nine hundred fifty-eight thousand, five hundred forty".