264907890 has 96 divisors (see below), whose sum is σ = 745473456. Its totient is φ = 64880640.

The previous prime is 264907879. The next prime is 264907891. The reversal of 264907890 is 98709462.

It is a happy number.

264907890 is a `hidden beast` number, since 2 + 6 + 490 + 78 + 90 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 102880449 + 162027441 = 10143^2 + 12729^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (264907891) 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, 300250 + ... + 301130.

Almost surely, 2^264907890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264907890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372736728).

264907890 is an abundant number, since it is smaller than the sum of its proper divisors (480565566).

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

264907890 is a wasteful number, since it uses less digits than its factorization.

264907890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 264907890 is about 16275.9912140551. The cubic root of 264907890 is about 642.2414004699.

The spelling of 264907890 in words is "two hundred sixty-four million, nine hundred seven thousand, eight hundred ninety".