385461504 has 180 divisors, whose sum is σ = 1190865060. Its totient is φ = 123863040.

The previous prime is 385461499. The next prime is 385461511. The reversal of 385461504 is 405164583.

It is a happy number.

385461504 is a `hidden beast` number, since 38 + 5 + 4 + 615 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 283855104 + 101606400 = 16848^2 + 10080^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 601024 + ... + 601664.

It is an arithmetic number, because the mean of its divisors is an integer number (6615917).

Almost surely, 2^385461504 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 385461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595432530).

385461504 is an abundant number, since it is smaller than the sum of its proper divisors (805403556).

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

385461504 is an equidigital number, since it uses as much as digits as its factorization.

385461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 385461504 is about 19633.1735590556. The cubic root of 385461504 is about 727.7691978572.

The spelling of 385461504 in words is "three hundred eighty-five million, four hundred sixty-one thousand, five hundred four".