369525000 has 192 divisors, whose sum is σ = 1246795200. Its totient is φ = 90720000.

The previous prime is 369524959. The next prime is 369525001. The reversal of 369525000 is 525963.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (369525001) 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, 974811 + ... + 975189.

It is an arithmetic number, because the mean of its divisors is an integer number (6493725).

Almost surely, 2^369525000 is an apocalyptic number.

369525000 is a gapful number since it is divisible by the number (30) 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 369525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623397600).

369525000 is an abundant number, since it is smaller than the sum of its proper divisors (877270200).

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

369525000 is a wasteful number, since it uses less digits than its factorization.

369525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 369525000 is about 19223.0330593276. The cubic root of 369525000 is about 717.5980918632.

The spelling of 369525000 in words is "three hundred sixty-nine million, five hundred twenty-five thousand".