660374400 has 384 divisors, whose sum is σ = 2574120960. Its totient is φ = 145612800.

The previous prime is 660374381. The next prime is 660374417. The reversal of 660374400 is 4473066.

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 (30).

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, 2083042 + ... + 2083358.

It is an arithmetic number, because the mean of its divisors is an integer number (6703440).

Almost surely, 2^660374400 is an apocalyptic number.

660374400 is a gapful number since it is divisible by the number (60) 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 660374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287060480).

660374400 is an abundant number, since it is smaller than the sum of its proper divisors (1913746560).

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

660374400 is a wasteful number, since it uses less digits than its factorization.

660374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 660374400 is about 25697.7508743470. The cubic root of 660374400 is about 870.8233716546.

It can be divided in two parts, 6603 and 74400, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 660374400 in words is "six hundred sixty million, three hundred seventy-four thousand, four hundred".