390774240 has 288 divisors, whose sum is σ = 1457537760. Its totient is φ = 97763328.

The previous prime is 390774203. The next prime is 390774269. The reversal of 390774240 is 42477093.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 390774195 and 390774204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248324 + ... + 1248636.

It is an arithmetic number, because the mean of its divisors is an integer number (5060895).

Almost surely, 2^390774240 is an apocalyptic number.

390774240 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 390774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728768880).

390774240 is an abundant number, since it is smaller than the sum of its proper divisors (1066763520).

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

390774240 is a wasteful number, since it uses less digits than its factorization.

390774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 390774240 is about 19768.0105220530. The cubic root of 390774240 is about 731.0975171869.

The spelling of 390774240 in words is "three hundred ninety million, seven hundred seventy-four thousand, two hundred forty".