264749100 has 288 divisors, whose sum is σ = 974270976. Its totient is φ = 53913600.

The previous prime is 264749087. The next prime is 264749123. The reversal of 264749100 is 1947462.

It is a happy number.

264749100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1686222 + ... + 1686378.

Almost surely, 2^264749100 is an apocalyptic number.

264749100 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 264749100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487135488).

264749100 is an abundant number, since it is smaller than the sum of its proper divisors (709521876).

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

264749100 is a wasteful number, since it uses less digits than its factorization.

264749100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 264749100 is about 16271.1124389207. The cubic root of 264749100 is about 642.1130515871.

The spelling of 264749100 in words is "two hundred sixty-four million, seven hundred forty-nine thousand, one hundred".