390762414 has 128 divisors (see below), whose sum is σ = 1051776000. Its totient is φ = 105162624.

The previous prime is 390762377. The next prime is 390762419. The reversal of 390762414 is 414267093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390762419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470952 + ... + 471780.

It is an arithmetic number, because the mean of its divisors is an integer number (8217000).

Almost surely, 2^390762414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390762414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525888000).

390762414 is an abundant number, since it is smaller than the sum of its proper divisors (661013586).

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

390762414 is a wasteful number, since it uses less digits than its factorization.

390762414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 390762414 is about 19767.7114001596. The cubic root of 390762414 is about 731.0901420450.

The spelling of 390762414 in words is "three hundred ninety million, seven hundred sixty-two thousand, four hundred fourteen".