1252406400 has 192 divisors, whose sum is σ = 4714668480. Its totient is φ = 286248960.

The previous prime is 1252406369. The next prime is 1252406401. The reversal of 1252406400 is 46042521.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1252406401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57882 + ... + 76518.

It is an arithmetic number, because the mean of its divisors is an integer number (24555565).

Almost surely, 2^1252406400 is an apocalyptic number.

1252406400 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 1252406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357334240).

1252406400 is an abundant number, since it is smaller than the sum of its proper divisors (3462262080).

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

1252406400 is a wasteful number, since it uses less digits than its factorization.

1252406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18671 (or 18654 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1252406400 is about 35389.3543314935. The cubic root of 1252406400 is about 1077.9081594569.

Adding to 1252406400 its reverse (46042521), we get a palindrome (1298448921).

The spelling of 1252406400 in words is "one billion, two hundred fifty-two million, four hundred six thousand, four hundred".