1949248800 has 432 divisors, whose sum is σ = 7347779712. Its totient is φ = 503884800.

The previous prime is 1949248799. The next prime is 1949248801. The reversal of 1949248800 is 88429491.

It is an interprime number because it is at equal distance from previous prime (1949248799) and next prime (1949248801).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1949248801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7192665 + ... + 7192935.

Almost surely, 2^1949248800 is an apocalyptic number.

1949248800 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 1949248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673889856).

1949248800 is an abundant number, since it is smaller than the sum of its proper divisors (5398530912).

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

1949248800 is a wasteful number, since it uses less digits than its factorization.

1949248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1949248800 is about 44150.2978472399. The cubic root of 1949248800 is about 1249.1725296885.

The spelling of 1949248800 in words is "one billion, nine hundred forty-nine million, two hundred forty-eight thousand, eight hundred".