390049020 has 144 divisors (see below), whose sum is σ = 1299418848. Its totient is φ = 97873920.

The previous prime is 390049013. The next prime is 390049021. The reversal of 390049020 is 20940093.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390049021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80260 + ... + 84980.

It is an arithmetic number, because the mean of its divisors is an integer number (9023742).

Almost surely, 2^390049020 is an apocalyptic number.

390049020 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 390049020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649709424).

390049020 is an abundant number, since it is smaller than the sum of its proper divisors (909369828).

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

390049020 is a wasteful number, since it uses less digits than its factorization.

390049020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 390049020 is about 19749.6587312288. The cubic root of 390049020 is about 730.6449669921.

The spelling of 390049020 in words is "three hundred ninety million, forty-nine thousand, twenty".