1652064400 has 180 divisors, whose sum is σ = 4767790080. Its totient is φ = 547948800.

The previous prime is 1652064397. The next prime is 1652064409. The reversal of 1652064400 is 44602561.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1652064409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606241 + ... + 608959.

Almost surely, 2^1652064400 is an apocalyptic number.

1652064400 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 1652064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383895040).

1652064400 is an abundant number, since it is smaller than the sum of its proper divisors (3115725680).

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

1652064400 is a wasteful number, since it uses less digits than its factorization.

1652064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1652064400 is about 40645.5950872908. The cubic root of 1652064400 is about 1182.1583593798.

Adding to 1652064400 its reverse (44602561), we get a palindrome (1696666961).

The spelling of 1652064400 in words is "one billion, six hundred fifty-two million, sixty-four thousand, four hundred".