390562480 has 320 divisors, whose sum is σ = 1234206720. Its totient is φ = 111283200.

The previous prime is 390562451. The next prime is 390562481. The reversal of 390562480 is 84265093.

390562480 = T₂₁₀ + T₂₁₁ + ... + T₁₃₂₉.

It is not an unprimeable number, because it can be changed into a prime (390562481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5500845 + ... + 5500915.

It is an arithmetic number, because the mean of its divisors is an integer number (3856896).

Almost surely, 2^390562480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390562480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617103360).

390562480 is an abundant number, since it is smaller than the sum of its proper divisors (843644240).

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

390562480 is a wasteful number, since it uses less digits than its factorization.

390562480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 390562480 is about 19762.6536679668. The cubic root of 390562480 is about 730.9654330934.

It can be divided in two parts, 3905 and 62480, that multiplied together give a square (243984400 = 15620²).

The spelling of 390562480 in words is "three hundred ninety million, five hundred sixty-two thousand, four hundred eighty".