368649450 has 288 divisors, whose sum is σ = 1151645040. Its totient is φ = 83865600.

The previous prime is 368649443. The next prime is 368649487. The reversal of 368649450 is 54946863.

368649450 is a `hidden beast` number, since 36 + 86 + 494 + 50 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 82464561 + 286184889 = 9081^2 + 16917^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 368649396 and 368649405.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6955624 + ... + 6955676.

Almost surely, 2^368649450 is an apocalyptic number.

368649450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 368649450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575822520).

368649450 is an abundant number, since it is smaller than the sum of its proper divisors (782995590).

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

368649450 is a wasteful number, since it uses less digits than its factorization.

368649450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 368649450 is about 19200.2460921729. The cubic root of 368649450 is about 717.0308863173.

The spelling of 368649450 in words is "three hundred sixty-eight million, six hundred forty-nine thousand, four hundred fifty".