401533440 has 480 divisors, whose sum is σ = 1645769664. Its totient is φ = 82575360.

The previous prime is 401533427. The next prime is 401533463. The reversal of 401533440 is 44335104.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×401533440² = 322458206876467200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 401533440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4139472 + ... + 4139568.

Almost surely, 2^401533440 is an apocalyptic number.

401533440 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 401533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822884832).

401533440 is an abundant number, since it is smaller than the sum of its proper divisors (1244236224).

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

401533440 is a wasteful number, since it uses less digits than its factorization.

401533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 401533440 is about 20038.2993290349. The cubic root of 401533440 is about 737.7466393314.

Adding to 401533440 its reverse (44335104), we get a palindrome (445868544).

The spelling of 401533440 in words is "four hundred one million, five hundred thirty-three thousand, four hundred forty".