401522320 has 40 divisors (see below), whose sum is σ = 988456824. Its totient is φ = 151160832.

The previous prime is 401522309. The next prime is 401522327. The reversal of 401522320 is 23225104.

It can be written as a sum of positive squares in 4 ways, for example, as 27331984 + 374190336 = 5228^2 + 19344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×401522320² = 322440346916364800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401522327) 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, 146259 + ... + 148978.

Almost surely, 2^401522320 is an apocalyptic number.

401522320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401522320 is an abundant number, since it is smaller than the sum of its proper divisors (586934504).

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

401522320 is a wasteful number, since it uses less digits than its factorization.

401522320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295267 (or 295261 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 401522320 is about 20038.0218584570. The cubic root of 401522320 is about 737.7398289245.

Adding to 401522320 its reverse (23225104), we get a palindrome (424747424).

It can be divided in two parts, 4015 and 22320, that added together give a triangular number (26335 = T₂₂₉).

The spelling of 401522320 in words is "four hundred one million, five hundred twenty-two thousand, three hundred twenty".