368466840 has 512 divisors, whose sum is σ = 1542758400. Its totient is φ = 76308480.

The previous prime is 368466821. The next prime is 368466841. The reversal of 368466840 is 48664863.

368466840 = T₁₁₃ + T₁₁₄ + ... + T₁₃₀₂.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368466841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6040410 + ... + 6040470.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2^368466840 is an apocalyptic number.

368466840 is a gapful number since it is divisible by the number (30) 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 368466840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771379200).

368466840 is an abundant number, since it is smaller than the sum of its proper divisors (1174291560).

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

368466840 is a wasteful number, since it uses less digits than its factorization.

368466840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 368466840 is about 19195.4900953323. The cubic root of 368466840 is about 716.9124733409.

The spelling of 368466840 in words is "three hundred sixty-eight million, four hundred sixty-six thousand, eight hundred forty".