1714490400 has 432 divisors, whose sum is σ = 6625825920. Its totient is φ = 383846400.

The previous prime is 1714490387. The next prime is 1714490419. The reversal of 1714490400 is 40944171.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7173481 + ... + 7173719.

It is an arithmetic number, because the mean of its divisors is an integer number (15337560).

Almost surely, 2^1714490400 is an apocalyptic number.

1714490400 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 1714490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312912960).

1714490400 is an abundant number, since it is smaller than the sum of its proper divisors (4911335520).

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

1714490400 is a wasteful number, since it uses less digits than its factorization.

1714490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1714490400 is about 41406.4053015955. The cubic root of 1714490400 is about 1196.8645925965.

The spelling of 1714490400 in words is "one billion, seven hundred fourteen million, four hundred ninety thousand, four hundred".