363465984 has 288 divisors, whose sum is σ = 1211486976. Its totient is φ = 94371840.

The previous prime is 363465983. The next prime is 363465989. The reversal of 363465984 is 489564363.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363465983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3747024 + ... + 3747120.

It is an arithmetic number, because the mean of its divisors is an integer number (4206552).

Almost surely, 2^363465984 is an apocalyptic number.

363465984 is a gapful number since it is divisible by the number (34) 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 363465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605743488).

363465984 is an abundant number, since it is smaller than the sum of its proper divisors (848020992).

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

363465984 is a wasteful number, since it uses less digits than its factorization.

363465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 363465984 is about 19064.7838697427. The cubic root of 363465984 is about 713.6543611855.

The spelling of 363465984 in words is "three hundred sixty-three million, four hundred sixty-five thousand, nine hundred eighty-four".