1972554480 has 480 divisors, whose sum is σ = 7596388800. Its totient is φ = 457906176.

The previous prime is 1972554427. The next prime is 1972554481. The reversal of 1972554480 is 844552791.

1972554480 is a `hidden beast` number, since 1 + 9 + 7 + 25 + 544 + 80 = 666.

1972554480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972554481) 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, 45873339 + ... + 45873381.

It is an arithmetic number, because the mean of its divisors is an integer number (15825810).

Almost surely, 2^1972554480 is an apocalyptic number.

1972554480 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 1972554480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798194400).

1972554480 is an abundant number, since it is smaller than the sum of its proper divisors (5623834320).

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

1972554480 is a wasteful number, since it uses less digits than its factorization.

1972554480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1972554480 is about 44413.4493143687. The cubic root of 1972554480 is about 1254.1312866674.

The spelling of 1972554480 in words is "one billion, nine hundred seventy-two million, five hundred fifty-four thousand, four hundred eighty".