19752480 has 288 divisors, whose sum is σ = 77837760. Its totient is φ = 4515840.

The previous prime is 19752479. The next prime is 19752493. The reversal of 19752480 is 8425791.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 459339 + ... + 459381.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 2^19752480 is an apocalyptic number.

19752480 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 19752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

19752480 is an abundant number, since it is smaller than the sum of its proper divisors (58085280).

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

19752480 is a wasteful number, since it uses less digits than its factorization.

19752480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 19752480 is about 4444.3762216986. The cubic root of 19752480 is about 270.3173223883.

The spelling of 19752480 in words is "nineteen million, seven hundred fifty-two thousand, four hundred eighty".