401304552 has 256 divisors, whose sum is σ = 1231718400. Its totient is φ = 107627520.

The previous prime is 401304539. The next prime is 401304557. The reversal of 401304552 is 255403104.

It is a super-2 number, since 2×401304552² = 322090686911841408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (401304557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7571758 + ... + 7571810.

It is an arithmetic number, because the mean of its divisors is an integer number (4811400).

Almost surely, 2^401304552 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 401304552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615859200).

401304552 is an abundant number, since it is smaller than the sum of its proper divisors (830413848).

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

401304552 is a wasteful number, since it uses less digits than its factorization.

401304552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 401304552 is about 20032.5872517755. The cubic root of 401304552 is about 737.6064322886.

Adding to 401304552 its reverse (255403104), we get a palindrome (656707656).

It can be divided in two parts, 401304 and 552, that added together give a triangular number (401856 = T₈₉₆).

The spelling of 401304552 in words is "four hundred one million, three hundred four thousand, five hundred fifty-two".