1949570400 has 144 divisors (see below), whose sum is σ = 6422963904. Its totient is φ = 513569280.

The previous prime is 1949570369. The next prime is 1949570407. The reversal of 1949570400 is 40759491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949570407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194307 + ... + 204093.

It is an arithmetic number, because the mean of its divisors is an integer number (44603916).

Almost surely, 2^1949570400 is an apocalyptic number.

1949570400 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 1949570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211481952).

1949570400 is an abundant number, since it is smaller than the sum of its proper divisors (4473393504).

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

1949570400 is a wasteful number, since it uses less digits than its factorization.

1949570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9893 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1949570400 is about 44153.9398015624. The cubic root of 1949570400 is about 1249.2412248347.

The spelling of 1949570400 in words is "one billion, nine hundred forty-nine million, five hundred seventy thousand, four hundred".