1625461200 has 180 divisors, whose sum is σ = 6153751968. Its totient is φ = 394041600.

The previous prime is 1625461177. The next prime is 1625461217. The reversal of 1625461200 is 21645261.

1625461200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1625461200² = 5284248225410880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19077 + ... + 60123.

Almost surely, 2^1625461200 is an apocalyptic number.

1625461200 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 1625461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076875984).

1625461200 is an abundant number, since it is smaller than the sum of its proper divisors (4528290768).

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

1625461200 is a wasteful number, since it uses less digits than its factorization.

1625461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41082 (or 41068 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1625461200 is about 40317.0088176194. The cubic root of 1625461200 is about 1175.7785574995.

The spelling of 1625461200 in words is "one billion, six hundred twenty-five million, four hundred sixty-one thousand, two hundred".