390757 has 8 divisors (see below), whose sum is σ = 410400. Its totient is φ = 371664.

The previous prime is 390751. The next prime is 390763. The reversal of 390757 is 757093.

390757 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (390751) and next prime (390763).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 390757 - 2¹⁵ = 357989 is a prime.

It is a Duffinian number.

390757 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2094 + ... + 2272.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2³⁹⁰⁷⁵⁷ is an apocalyptic number.

390757 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

390757 is a deficient number, since it is larger than the sum of its proper divisors (19643).

390757 is a wasteful number, since it uses less digits than its factorization.

390757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 6615, while the sum is 31.

The square root of 390757 is about 625.1055910804. The cubic root of 390757 is about 73.1086765620.

The spelling of 390757 in words is "three hundred ninety thousand, seven hundred fifty-seven".