1925434800 has 480 divisors, whose sum is σ = 7262392320. Its totient is φ = 489888000.

The previous prime is 1925434789. The next prime is 1925434817. The reversal of 1925434800 is 84345291.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27118765 + ... + 27118835.

It is an arithmetic number, because the mean of its divisors is an integer number (15129984).

Almost surely, 2^1925434800 is an apocalyptic number.

1925434800 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 1925434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631196160).

1925434800 is an abundant number, since it is smaller than the sum of its proper divisors (5336957520).

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

1925434800 is an equidigital number, since it uses as much as digits as its factorization.

1925434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1925434800 is about 43879.7766630597. The cubic root of 1925434800 is about 1244.0646189418.

The spelling of 1925434800 in words is "one billion, nine hundred twenty-five million, four hundred thirty-four thousand, eight hundred".