390541440 has 128 divisors (see below), whose sum is σ = 1257145920. Its totient is φ = 103116800.

The previous prime is 390541433. The next prime is 390541451. The reversal of 390541440 is 44145093.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 390541398 and 390541407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204490 + ... + 206390.

Almost surely, 2^390541440 is an apocalyptic number.

390541440 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 390541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628572960).

390541440 is an abundant number, since it is smaller than the sum of its proper divisors (866604480).

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

390541440 is a wasteful number, since it uses less digits than its factorization.

390541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 390541440 is about 19762.1213436210. The cubic root of 390541440 is about 730.9523069060.

The spelling of 390541440 in words is "three hundred ninety million, five hundred forty-one thousand, four hundred forty".