1825718400 has 768 divisors, whose sum is σ = 7786108800. Its totient is φ = 412876800.

The previous prime is 1825718387. The next prime is 1825718407. The reversal of 1825718400 is 48175281.

1825718400 is a `hidden beast` number, since 1 + 8 + 2 + 571 + 84 + 0 + 0 = 666.

It is a super-4 number, since 4×1825718400⁴ (a number of 38 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1825718407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16156744 + ... + 16156856.

Almost surely, 2^1825718400 is an apocalyptic number.

1825718400 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 1825718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893054400).

1825718400 is an abundant number, since it is smaller than the sum of its proper divisors (5960390400).

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

1825718400 is a wasteful number, since it uses less digits than its factorization.

1825718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1825718400 is about 42728.4261353025. The cubic root of 1825718400 is about 1222.2065237041.

The spelling of 1825718400 in words is "one billion, eight hundred twenty-five million, seven hundred eighteen thousand, four hundred".