385597440 has 180 divisors, whose sum is σ = 1339252824. Its totient is φ = 102629376.

The previous prime is 385597411. The next prime is 385597441. The reversal of 385597440 is 44795583.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385597441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737019 + ... + 737541.

Almost surely, 2^385597440 is an apocalyptic number.

385597440 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 385597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669626412).

385597440 is an abundant number, since it is smaller than the sum of its proper divisors (953655384).

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

385597440 is an equidigital number, since it uses as much as digits as its factorization.

385597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 385597440 is about 19636.6351496380. The cubic root of 385597440 is about 727.8547389600.

The spelling of 385597440 in words is "three hundred eighty-five million, five hundred ninety-seven thousand, four hundred forty".