401950720 has 96 divisors (see below), whose sum is σ = 1021620600. Its totient is φ = 151257088.

The previous prime is 401950709. The next prime is 401950727. The reversal of 401950720 is 27059104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 394896384 + 7054336 = 19872^2 + 2656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401950727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172926 + ... + 175234.

Almost surely, 2^401950720 is an apocalyptic number.

401950720 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 401950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510810300).

401950720 is an abundant number, since it is smaller than the sum of its proper divisors (619669880).

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

401950720 is a wasteful number, since it uses less digits than its factorization.

401950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 401950720 is about 20048.7086865963. The cubic root of 401950720 is about 738.0021102409.

The spelling of 401950720 in words is "four hundred one million, nine hundred fifty thousand, seven hundred twenty".