385854480 has 360 divisors, whose sum is σ = 1471614144. Its totient is φ = 90478080.

The previous prime is 385854479. The next prime is 385854493. The reversal of 385854480 is 84458583.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3746109 + ... + 3746211.

Almost surely, 2^385854480 is an apocalyptic number.

385854480 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 385854480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735807072).

385854480 is an abundant number, since it is smaller than the sum of its proper divisors (1085759664).

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

385854480 is a wasteful number, since it uses less digits than its factorization.

385854480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 385854480 is about 19643.1789687922. The cubic root of 385854480 is about 728.0164328296.

The spelling of 385854480 in words is "three hundred eighty-five million, eight hundred fifty-four thousand, four hundred eighty".