360981400 has 96 divisors (see below), whose sum is σ = 957126240. Its totient is φ = 125429760.

The previous prime is 360981307. The next prime is 360981427. The reversal of 360981400 is 4189063.

360981400 = T₉₄ + T₉₅ + ... + T₁₂₉₃.

It is a super-2 number, since 2×360981400² = 260615142291920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40117 + ... + 48283.

It is an arithmetic number, because the mean of its divisors is an integer number (9970065).

Almost surely, 2^360981400 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 360981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478563120).

360981400 is an abundant number, since it is smaller than the sum of its proper divisors (596144840).

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

360981400 is a wasteful number, since it uses less digits than its factorization.

360981400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213 (or 8204 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 360981400 is about 18999.5105200108. The cubic root of 360981400 is about 712.0245067944.

The spelling of 360981400 in words is "three hundred sixty million, nine hundred eighty-one thousand, four hundred".