493970400 has 756 divisors, whose sum is σ = 2271245256. Its totient is φ = 102643200.

The previous prime is 493970383. The next prime is 493970443. The reversal of 493970400 is 4079394.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 44906395 + ... + 44906405.

Almost surely, 2^493970400 is an apocalyptic number.

493970400 is a gapful number since it is divisible by the number (40) 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 493970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135622628).

493970400 is an abundant number, since it is smaller than the sum of its proper divisors (1777274856).

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

493970400 is a wasteful number, since it uses less digits than its factorization.

493970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 493970400 is about 22225.4448774372. Note that the first 3 decimals coincide. The cubic root of 493970400 is about 790.4971500893.

The spelling of 493970400 in words is "four hundred ninety-three million, nine hundred seventy thousand, four hundred".