1252070400 has 528 divisors, whose sum is σ = 5044070016. Its totient is φ = 267386880.

The previous prime is 1252070399. The next prime is 1252070411. The reversal of 1252070400 is 40702521.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9139132 + ... + 9139268.

Almost surely, 2^1252070400 is an apocalyptic number.

1252070400 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 1252070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522035008).

1252070400 is an abundant number, since it is smaller than the sum of its proper divisors (3791999616).

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

1252070400 is a wasteful number, since it uses less digits than its factorization.

1252070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1252070400 is about 35384.6068227414. The cubic root of 1252070400 is about 1077.8117558361.

Adding to 1252070400 its reverse (40702521), we get a palindrome (1292772921).

The spelling of 1252070400 in words is "one billion, two hundred fifty-two million, seventy thousand, four hundred".