1250078400 has 336 divisors, whose sum is σ = 4799990400. Its totient is φ = 315601920.

The previous prime is 1250078363. The next prime is 1250078407. The reversal of 1250078400 is 48700521.

1250078400 is a `hidden beast` number, since 1 + 250 + 0 + 7 + 8 + 400 = 666.

It is a super-2 number, since 2×1250078400² = 3125392012293120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1250078407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820039 + ... + 821561.

Almost surely, 2^1250078400 is an apocalyptic number.

1250078400 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 1250078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399995200).

1250078400 is an abundant number, since it is smaller than the sum of its proper divisors (3549912000).

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

1250078400 is a wasteful number, since it uses less digits than its factorization.

1250078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1250078400 is about 35356.4477853757. The cubic root of 1250078400 is about 1077.2398655691.

Adding to 1250078400 its reverse (48700521), we get a palindrome (1298778921).

The spelling of 1250078400 in words is "one billion, two hundred fifty million, seventy-eight thousand, four hundred".