385365470400 has 420 divisors, whose sum is σ = 1418620217872. Its totient is φ = 102610851840.

The previous prime is 385365470381. The next prime is 385365470423. The reversal of 385365470400 is 4074563583.

385365470400 is a `hidden beast` number, since 3 + 8 + 536 + 5 + 4 + 70 + 40 + 0 = 666.

It is a super-2 number, since 2×385365470400² (a number of 24 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 106658994 + ... + 106662606.

Almost surely, 2^385365470400 is an apocalyptic number.

385365470400 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 385365470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709310108936).

385365470400 is an abundant number, since it is smaller than the sum of its proper divisors (1033254747472).

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

385365470400 is a wasteful number, since it uses less digits than its factorization.

385365470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 385365470400 in words is "three hundred eighty-five billion, three hundred sixty-five million, four hundred seventy thousand, four hundred".