1032020400 has 120 divisors (see below), whose sum is σ = 3313297360. Its totient is φ = 274590720.

The previous prime is 1032020369. The next prime is 1032020443. The reversal of 1032020400 is 40202301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1032020400² = 2130132212032320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 850194 + ... + 851406.

Almost surely, 2^1032020400 is an apocalyptic number.

1032020400 is a gapful number since it is divisible by the number (10) 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 1032020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656648680).

1032020400 is an abundant number, since it is smaller than the sum of its proper divisors (2281276960).

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

1032020400 is a wasteful number, since it uses less digits than its factorization.

1032020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1032020400 is about 32125.0743189802. The cubic root of 1032020400 is about 1010.5615280927.

Adding to 1032020400 its reverse (40202301), we get a palindrome (1072222701).

The spelling of 1032020400 in words is "one billion, thirty-two million, twenty thousand, four hundred".