1948393440 has 288 divisors, whose sum is σ = 7881269760. Its totient is φ = 445284864.

The previous prime is 1948393439. The next prime is 1948393459. The reversal of 1948393440 is 443938491.

It is a happy number.

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 (45).

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, 268581 + ... + 275739.

It is an arithmetic number, because the mean of its divisors is an integer number (27365520).

Almost surely, 2^1948393440 is an apocalyptic number.

1948393440 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 1948393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940634880).

1948393440 is an abundant number, since it is smaller than the sum of its proper divisors (5932876320).

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

1948393440 is an equidigital number, since it uses as much as digits as its factorization.

1948393440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7196 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1948393440 is about 44140.6098734487. The cubic root of 1948393440 is about 1248.9897843247.

The spelling of 1948393440 in words is "one billion, nine hundred forty-eight million, three hundred ninety-three thousand, four hundred forty".