400303332 has 108 divisors (see below), whose sum is σ = 1197954940. Its totient is φ = 111957120.

The previous prime is 400303303. The next prime is 400303361. The reversal of 400303332 is 233303004.

It is an interprime number because it is at equal distance from previous prime (400303303) and next prime (400303361).

It can be written as a sum of positive squares in 2 ways, for example, as 96707556 + 303595776 = 9834^2 + 17424^2 .

It is a super-2 number, since 2×400303332² = 320485515220604448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53094 + ... + 60162.

Almost surely, 2^400303332 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 400303332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598977470).

400303332 is an abundant number, since it is smaller than the sum of its proper divisors (797651608).

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

400303332 is a wasteful number, since it uses less digits than its factorization.

400303332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 400303332 is about 20007.5818628839. The cubic root of 400303332 is about 736.9925001093.

Adding to 400303332 its reverse (233303004), we get a palindrome (633606336).

The spelling of 400303332 in words is "four hundred million, three hundred three thousand, three hundred thirty-two".