401036832 has 360 divisors, whose sum is σ = 1453370688. Its totient is φ = 106064640.

The previous prime is 401036807. The next prime is 401036843. The reversal of 401036832 is 238630104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 401036796 and 401036805.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12936657 + ... + 12936687.

Almost surely, 2^401036832 is an apocalyptic number.

401036832 is a gapful number since it is divisible by the number (42) 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 401036832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726685344).

401036832 is an abundant number, since it is smaller than the sum of its proper divisors (1052333856).

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

401036832 is a wasteful number, since it uses less digits than its factorization.

401036832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 401036832 is about 20025.9040245378. The cubic root of 401036832 is about 737.4423707530.

Adding to 401036832 its reverse (238630104), we get a palindrome (639666936).

The spelling of 401036832 in words is "four hundred one million, thirty-six thousand, eight hundred thirty-two".