19742400 has 168 divisors, whose sum is σ = 72125840. Its totient is φ = 5253120.

The previous prime is 19742377. The next prime is 19742419. The reversal of 19742400 is 424791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42972 + ... + 43428.

Almost surely, 2^19742400 is an apocalyptic number.

19742400 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 19742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36062920).

19742400 is an abundant number, since it is smaller than the sum of its proper divisors (52383440).

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

19742400 is a wasteful number, since it uses less digits than its factorization.

19742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 19742400 is about 4443.2420595777. The cubic root of 19742400 is about 270.2713321760.

The spelling of 19742400 in words is "nineteen million, seven hundred forty-two thousand, four hundred".