401433552 has 120 divisors (see below), whose sum is σ = 1238261024. Its totient is φ = 120621312.

The previous prime is 401433551. The next prime is 401433553. The reversal of 401433552 is 255334104.

It is an interprime number because it is at equal distance from previous prime (401433551) and next prime (401433553).

It is a super-2 number, since 2×401433552² = 322297793342673408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401433551) 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 23 ways as a sum of consecutive naturals, for example, 78003 + ... + 82989.

Almost surely, 2^401433552 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 401433552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619130512).

401433552 is an abundant number, since it is smaller than the sum of its proper divisors (836827472).

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

401433552 is a wasteful number, since it uses less digits than its factorization.

401433552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 401433552 is about 20035.8067469219. The cubic root of 401433552 is about 737.6854587500.

Adding to 401433552 its reverse (255334104), we get a palindrome (656767656).

The spelling of 401433552 in words is "four hundred one million, four hundred thirty-three thousand, five hundred fifty-two".