364457016 has 256 divisors, whose sum is σ = 1337472000. Its totient is φ = 89026560.

The previous prime is 364457003. The next prime is 364457017. The reversal of 364457016 is 610754463.

It is a happy number.

364457016 is a `hidden beast` number, since 3 + 644 + 5 + 7 + 0 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364457017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282100 + ... + 283388.

It is an arithmetic number, because the mean of its divisors is an integer number (5224500).

Almost surely, 2^364457016 is an apocalyptic number.

364457016 is a gapful number since it is divisible by the number (36) 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 364457016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668736000).

364457016 is an abundant number, since it is smaller than the sum of its proper divisors (973014984).

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

364457016 is a wasteful number, since it uses less digits than its factorization.

364457016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 364457016 is about 19090.7573448515. The cubic root of 364457016 is about 714.3023929210.

The spelling of 364457016 in words is "three hundred sixty-four million, four hundred fifty-seven thousand, sixteen".