684248400 has 360 divisors, whose sum is σ = 2666106144. Its totient is φ = 161049600.

The previous prime is 684248393. The next prime is 684248401. The reversal of 684248400 is 4842486.

684248400 is a `hidden beast` number, since 6 + 8 + 4 + 248 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (684248401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1464967 + ... + 1465433.

Almost surely, 2^684248400 is an apocalyptic number.

684248400 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 684248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333053072).

684248400 is an abundant number, since it is smaller than the sum of its proper divisors (1981857744).

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

684248400 is a wasteful number, since it uses less digits than its factorization.

684248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 684248400 is about 26158.1421358628. The cubic root of 684248400 is about 881.1934564596.

The spelling of 684248400 in words is "six hundred eighty-four million, two hundred forty-eight thousand, four hundred".