264762940 has 96 divisors (see below), whose sum is σ = 625895424. Its totient is φ = 93415680.

The previous prime is 264762899. The next prime is 264762941. The reversal of 264762940 is 49267462.

It is a junction number, because it is equal to n+sod(n) for n = 264762893 and 264762902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264762941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862267 + ... + 862573.

It is an arithmetic number, because the mean of its divisors is an integer number (6519744).

Almost surely, 2^264762940 is an apocalyptic number.

264762940 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 264762940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312947712).

264762940 is an abundant number, since it is smaller than the sum of its proper divisors (361132484).

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

264762940 is a wasteful number, since it uses less digits than its factorization.

264762940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 264762940 is about 16271.5377269636. The cubic root of 264762940 is about 642.1242404067.

The spelling of 264762940 in words is "two hundred sixty-four million, seven hundred sixty-two thousand, nine hundred forty".