385498400 has 288 divisors, whose sum is σ = 1165425408. Its totient is φ = 121651200.

The previous prime is 385498387. The next prime is 385498403. The reversal of 385498400 is 4894583.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (385498403) 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, 5280764 + ... + 5280836.

It is an arithmetic number, because the mean of its divisors is an integer number (4046616).

Almost surely, 2^385498400 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 385498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582712704).

385498400 is an abundant number, since it is smaller than the sum of its proper divisors (779927008).

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

385498400 is a wasteful number, since it uses less digits than its factorization.

385498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 385498400 is about 19634.1131707037. The cubic root of 385498400 is about 727.7924175694.

The spelling of 385498400 in words is "three hundred eighty-five million, four hundred ninety-eight thousand, four hundred".