1378252400 has 180 divisors, whose sum is σ = 4055689080. Its totient is φ = 447552000.

The previous prime is 1378252399. The next prime is 1378252409. The reversal of 1378252400 is 42528731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378252409) 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, 370550 + ... + 374250.

It is an arithmetic number, because the mean of its divisors is an integer number (22531606).

Almost surely, 2^1378252400 is an apocalyptic number.

1378252400 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 1378252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027844540).

1378252400 is an abundant number, since it is smaller than the sum of its proper divisors (2677436680).

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

1378252400 is a wasteful number, since it uses less digits than its factorization.

1378252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 1378252400 is about 37124.8218850946. The cubic root of 1378252400 is about 1112.8661152457.

The spelling of 1378252400 in words is "one billion, three hundred seventy-eight million, two hundred fifty-two thousand, four hundred".