385652400 has 240 divisors, whose sum is σ = 1458382848. Its totient is φ = 85248000.

The previous prime is 385652387. The next prime is 385652413. The reversal of 385652400 is 4256583.

It is an interprime number because it is at equal distance from previous prime (385652387) and next prime (385652413).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259660 + ... + 261140.

Almost surely, 2^385652400 is an apocalyptic number.

385652400 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 385652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729191424).

385652400 is an abundant number, since it is smaller than the sum of its proper divisors (1072730448).

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

385652400 is a wasteful number, since it uses less digits than its factorization.

385652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 385652400 is about 19638.0345248704. The cubic root of 385652400 is about 727.8893181972.

The spelling of 385652400 in words is "three hundred eighty-five million, six hundred fifty-two thousand, four hundred".