401024520 has 160 divisors (see below), whose sum is σ = 1451724120. Its totient is φ = 98703360.

The previous prime is 401024513. The next prime is 401024521. The reversal of 401024520 is 25420104.

401024520 is a `hidden beast` number, since 40 + 102 + 4 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 239073444 + 161951076 = 15462^2 + 12726^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401024493 and 401024502.

It is not an unprimeable number, because it can be changed into a prime (401024521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37360 + ... + 46880.

Almost surely, 2^401024520 is an apocalyptic number.

401024520 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 401024520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725862060).

401024520 is an abundant number, since it is smaller than the sum of its proper divisors (1050699600).

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

401024520 is a wasteful number, since it uses less digits than its factorization.

401024520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9557 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 401024520 is about 20025.5966203257. The cubic root of 401024520 is about 737.4348240785.

Adding to 401024520 its reverse (25420104), we get a palindrome (426444624).

The spelling of 401024520 in words is "four hundred one million, twenty-four thousand, five hundred twenty".