1448737920 has 768 divisors, whose sum is σ = 6279120000. Its totient is φ = 314302464.

The previous prime is 1448737919. The next prime is 1448737957. The reversal of 1448737920 is 297378441.

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 95 ways as a sum of consecutive naturals, for example, 24554851 + ... + 24554909.

Almost surely, 2^1448737920 is an apocalyptic number.

1448737920 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 1448737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139560000).

1448737920 is an abundant number, since it is smaller than the sum of its proper divisors (4830382080).

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

1448737920 is a wasteful number, since it uses less digits than its factorization.

1448737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1448737920 is about 38062.2899994207. The cubic root of 1448737920 is about 1131.5227128803.

The spelling of 1448737920 in words is "one billion, four hundred forty-eight million, seven hundred thirty-seven thousand, nine hundred twenty".