264125000 has 56 divisors (see below), whose sum is σ = 619328010. Its totient is φ = 105600000.

The previous prime is 264124969. The next prime is 264125009. The reversal of 264125000 is 521462.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 228674884 + 35450116 = 15122^2 + 5954^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (264125009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 123944 + ... + 126056.

Almost surely, 2^264125000 is an apocalyptic number.

264125000 is a gapful number since it is divisible by the number (20) 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 264125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309664005).

264125000 is an abundant number, since it is smaller than the sum of its proper divisors (355203010).

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

264125000 is an frugal number, since it uses more digits than its factorization.

264125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 264125000 is about 16251.9229631450. The cubic root of 264125000 is about 641.6080979507.

Adding to 264125000 its reverse (521462), we get a palindrome (264646462).

The spelling of 264125000 in words is "two hundred sixty-four million, one hundred twenty-five thousand".