1948264500 has 288 divisors, whose sum is σ = 7110754560. Its totient is φ = 410860800.

The previous prime is 1948264469. The next prime is 1948264517. The reversal of 1948264500 is 54628491.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 954481 + ... + 956519.

It is an arithmetic number, because the mean of its divisors is an integer number (24690120).

Almost surely, 2^1948264500 is an apocalyptic number.

1948264500 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 1948264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555377280).

1948264500 is an abundant number, since it is smaller than the sum of its proper divisors (5162490060).

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

1948264500 is a wasteful number, since it uses less digits than its factorization.

1948264500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1948264500 is about 44139.1492894913. The cubic root of 1948264500 is about 1248.9622320018.

The spelling of 1948264500 in words is "one billion, nine hundred forty-eight million, two hundred sixty-four thousand, five hundred".