361246464 has 216 divisors, whose sum is σ = 1153649952. Its totient is φ = 108134400.

The previous prime is 361246427. The next prime is 361246469. The reversal of 361246464 is 464642163.

361246464 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 4 + 646 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361246469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900664 + ... + 901064.

It is an arithmetic number, because the mean of its divisors is an integer number (5340972).

Almost surely, 2^361246464 is an apocalyptic number.

361246464 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 361246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576824976).

361246464 is an abundant number, since it is smaller than the sum of its proper divisors (792403488).

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

361246464 is a wasteful number, since it uses less digits than its factorization.

361246464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 446 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 361246464 is about 19006.4847880927. The cubic root of 361246464 is about 712.1987409684.

The spelling of 361246464 in words is "three hundred sixty-one million, two hundred forty-six thousand, four hundred sixty-four".