1525220400 has 120 divisors (see below), whose sum is σ = 5329998144. Its totient is φ = 369747200.

The previous prime is 1525220381. The next prime is 1525220407. The reversal of 1525220400 is 40225251.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1525220407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44574 + ... + 70973.

Almost surely, 2^1525220400 is an apocalyptic number.

1525220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1525220400 is an abundant number, since it is smaller than the sum of its proper divisors (3804777744).

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

1525220400 is a wasteful number, since it uses less digits than its factorization.

1525220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115579 (or 115568 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1525220400 is about 39054.0702104147. The cubic root of 1525220400 is about 1151.0942074454.

Adding to 1525220400 its reverse (40225251), we get a palindrome (1565445651).

The spelling of 1525220400 in words is "one billion, five hundred twenty-five million, two hundred twenty thousand, four hundred".