364780416 has 384 divisors, whose sum is σ = 1326032640. Its totient is φ = 86261760.

The previous prime is 364780393. The next prime is 364780433. The reversal of 364780416 is 614087463.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4996956 + ... + 4997028.

It is an arithmetic number, because the mean of its divisors is an integer number (3453210).

Almost surely, 2^364780416 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 364780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663016320).

364780416 is an abundant number, since it is smaller than the sum of its proper divisors (961252224).

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

364780416 is a wasteful number, since it uses less digits than its factorization.

364780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 364780416 is about 19099.2255340367. The cubic root of 364780416 is about 714.5136085926.

The spelling of 364780416 in words is "three hundred sixty-four million, seven hundred eighty thousand, four hundred sixteen".