1948492920 has 128 divisors (see below), whose sum is σ = 6403380480. Its totient is φ = 470400000.

The previous prime is 1948492913. The next prime is 1948492937. The reversal of 1948492920 is 292948491.

It is a self number, because there is not a number n which added to its sum of digits gives 1948492920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328380 + ... + 334260.

It is an arithmetic number, because the mean of its divisors is an integer number (50026410).

Almost surely, 2^1948492920 is an apocalyptic number.

1948492920 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 1948492920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201690240).

1948492920 is an abundant number, since it is smaller than the sum of its proper divisors (4454887560).

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

1948492920 is a wasteful number, since it uses less digits than its factorization.

1948492920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6157 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1948492920 is about 44141.7367125490. The cubic root of 1948492920 is about 1249.0110407073.

The spelling of 1948492920 in words is "one billion, nine hundred forty-eight million, four hundred ninety-two thousand, nine hundred twenty".