368466480 has 120 divisors (see below), whose sum is σ = 1240956288. Its totient is φ = 97978368.

The previous prime is 368466479. The next prime is 368466491. The reversal of 368466480 is 84664863.

368466480 is a `hidden beast` number, since 36 + 84 + 66 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 426529 + ... + 427391.

Almost surely, 2^368466480 is an apocalyptic number.

368466480 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 368466480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620478144).

368466480 is an abundant number, since it is smaller than the sum of its proper divisors (872489808).

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

368466480 is a wasteful number, since it uses less digits than its factorization.

368466480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 368466480 is about 19195.4807181274. The cubic root of 368466480 is about 716.9122398612.

The spelling of 368466480 in words is "three hundred sixty-eight million, four hundred sixty-six thousand, four hundred eighty".