1020400332 has 48 divisors (see below), whose sum is σ = 2722863360. Its totient is φ = 291350592.

The previous prime is 1020400331. The next prime is 1020400369. The reversal of 1020400332 is 2330040201.

It is a super-3 number, since 3×1020400332³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020400331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167443 + ... + 173429.

It is an arithmetic number, because the mean of its divisors is an integer number (56726320).

Almost surely, 2^1020400332 is an apocalyptic number.

1020400332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020400332 is an abundant number, since it is smaller than the sum of its proper divisors (1702463028).

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

1020400332 is a wasteful number, since it uses less digits than its factorization.

1020400332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8030 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1020400332 is about 31943.7056710708. The cubic root of 1020400332 is about 1006.7543862179.

Adding to 1020400332 its reverse (2330040201), we get a palindrome (3350440533).

The spelling of 1020400332 in words is "one billion, twenty million, four hundred thousand, three hundred thirty-two".