264261450 has 48 divisors (see below), whose sum is σ = 661895136. Its totient is φ = 69768000.

The previous prime is 264261449. The next prime is 264261451. The reversal of 264261450 is 54162462.

264261450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264261449) and next prime (264261451).

It is a super-2 number, since 2×264261450² = 139668227912205000, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (264261451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6429 + ... + 23871.

It is an arithmetic number, because the mean of its divisors is an integer number (13789482).

Almost surely, 2^264261450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264261450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330947568).

264261450 is an abundant number, since it is smaller than the sum of its proper divisors (397633686).

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

264261450 is a wasteful number, since it uses less digits than its factorization.

264261450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17559 (or 17554 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 264261450 is about 16256.1203858731. The cubic root of 264261450 is about 641.7185662937.

The spelling of 264261450 in words is "two hundred sixty-four million, two hundred sixty-one thousand, four hundred fifty".