386294760 has 96 divisors (see below), whose sum is σ = 1260441000. Its totient is φ = 102603264.

The previous prime is 386294759. The next prime is 386294789. The reversal of 386294760 is 67492683.

It can be written as a sum of positive squares in 4 ways, for example, as 210308004 + 175986756 = 14502^2 + 13266^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94846 + ... + 98834.

Almost surely, 2^386294760 is an apocalyptic number.

386294760 is a gapful number since it is divisible by the number (30) 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 386294760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630220500).

386294760 is an abundant number, since it is smaller than the sum of its proper divisors (874146240).

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

386294760 is a wasteful number, since it uses less digits than its factorization.

386294760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 386294760 is about 19654.3827173483. The cubic root of 386294760 is about 728.2932290958.

The spelling of 386294760 in words is "three hundred eighty-six million, two hundred ninety-four thousand, seven hundred sixty".