1992144420 has 288 divisors, whose sum is σ = 7167992832. Its totient is φ = 438407424.

The previous prime is 1992144403. The next prime is 1992144431. The reversal of 1992144420 is 244412991.

1992144420 is a `hidden beast` number, since 1 + 9 + 92 + 144 + 420 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4496719 + ... + 4497161.

It is an arithmetic number, because the mean of its divisors is an integer number (24888864).

Almost surely, 2^1992144420 is an apocalyptic number.

1992144420 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 1992144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583996416).

1992144420 is an abundant number, since it is smaller than the sum of its proper divisors (5175848412).

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

1992144420 is a wasteful number, since it uses less digits than its factorization.

1992144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1992144420 is about 44633.4450832557. The cubic root of 1992144420 is about 1258.2693170168.

The spelling of 1992144420 in words is "one billion, nine hundred ninety-two million, one hundred forty-four thousand, four hundred twenty".