268177464 has 48 divisors (see below), whose sum is σ = 727069200. Its totient is φ = 89299584.

The previous prime is 268177439. The next prime is 268177489. The reversal of 268177464 is 464771862.

268177464 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 (268177439) and next prime (268177489).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127332 + ... + 129420.

It is an arithmetic number, because the mean of its divisors is an integer number (15147275).

Almost surely, 2^268177464 is an apocalyptic number.

268177464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268177464 is an abundant number, since it is smaller than the sum of its proper divisors (458891736).

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

268177464 is a wasteful number, since it uses less digits than its factorization.

268177464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3877 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 268177464 is about 16376.1248163294. The cubic root of 268177464 is about 644.8728503646.

The spelling of 268177464 in words is "two hundred sixty-eight million, one hundred seventy-seven thousand, four hundred sixty-four".