1020652400 has 60 divisors (see below), whose sum is σ = 2518427352. Its totient is φ = 397221120.

The previous prime is 1020652357. The next prime is 1020652403. The reversal of 1020652400 is 42560201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020652403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19682 + ... + 49281.

Almost surely, 2^1020652400 is an apocalyptic number.

1020652400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020652400 is an abundant number, since it is smaller than the sum of its proper divisors (1497774952).

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

1020652400 is a wasteful number, since it uses less digits than its factorization.

1020652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69018 (or 69007 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1020652400 is about 31947.6509308588. The cubic root of 1020652400 is about 1006.8372784133.

The spelling of 1020652400 in words is "one billion, twenty million, six hundred fifty-two thousand, four hundred".