361001400 has 48 divisors (see below), whose sum is σ = 1119106200. Its totient is φ = 96266880.

The previous prime is 361001393. The next prime is 361001401. The reversal of 361001400 is 4100163.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 361001400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361001401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300235 + ... + 301434.

Almost surely, 2^361001400 is an apocalyptic number.

361001400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361001400 is an abundant number, since it is smaller than the sum of its proper divisors (758104800).

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

361001400 is a wasteful number, since it uses less digits than its factorization.

361001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601688 (or 601679 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 361001400 is about 19000.0368420695. The cubic root of 361001400 is about 712.0376563428.

Adding to 361001400 its reverse (4100163), we get a palindrome (365101563).

The spelling of 361001400 in words is "three hundred sixty-one million, one thousand, four hundred".