368414460 has 96 divisors (see below), whose sum is σ = 1196052480. Its totient is φ = 93969216.

The previous prime is 368414407. The next prime is 368414477. The reversal of 368414460 is 64414863.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412 + ... + 27251.

It is an arithmetic number, because the mean of its divisors is an integer number (12458880).

Almost surely, 2^368414460 is an apocalyptic number.

368414460 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 368414460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598026240).

368414460 is an abundant number, since it is smaller than the sum of its proper divisors (827638020).

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

368414460 is a wasteful number, since it uses less digits than its factorization.

368414460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29704 (or 29696 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 368414460 is about 19194.1256638587. The cubic root of 368414460 is about 716.8785004467.

The spelling of 368414460 in words is "three hundred sixty-eight million, four hundred fourteen thousand, four hundred sixty".