1396824000 has 672 divisors, whose sum is σ = 5607271488. Its totient is φ = 304128000.

The previous prime is 1396823999. The next prime is 1396824001. The reversal of 1396824000 is 4286931.

It is an interprime number because it is at equal distance from previous prime (1396823999) and next prime (1396824001).

It is a super-2 number, since 2×1396824000² = 3902234573952000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396824001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37751982 + ... + 37752018.

It is an arithmetic number, because the mean of its divisors is an integer number (8344154).

Almost surely, 2^1396824000 is an apocalyptic number.

1396824000 is a gapful number since it is divisible by the number (10) 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 1396824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803635744).

1396824000 is an abundant number, since it is smaller than the sum of its proper divisors (4210447488).

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

1396824000 is a wasteful number, since it uses less digits than its factorization.

1396824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1396824000 is about 37374.1086850242. The cubic root of 1396824000 is about 1117.8423596569.

The spelling of 1396824000 in words is "one billion, three hundred ninety-six million, eight hundred twenty-four thousand".