1625030400 has 432 divisors, whose sum is σ = 6241100544. Its totient is φ = 364707840.

The previous prime is 1625030383. The next prime is 1625030401. The reversal of 1625030400 is 40305261.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1625030401) 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, 14380744 + ... + 14380856.

It is an arithmetic number, because the mean of its divisors is an integer number (14446992).

Almost surely, 2^1625030400 is an apocalyptic number.

1625030400 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 1625030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120550272).

1625030400 is an abundant number, since it is smaller than the sum of its proper divisors (4616070144).

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

1625030400 is a wasteful number, since it uses less digits than its factorization.

1625030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1625030400 is about 40311.6658053224. The cubic root of 1625030400 is about 1175.6746751556.

Adding to 1625030400 its reverse (40305261), we get a palindrome (1665335661).

The spelling of 1625030400 in words is "one billion, six hundred twenty-five million, thirty thousand, four hundred".