1950336400 has 60 divisors (see below), whose sum is σ = 4774144212. Its totient is φ = 765406720.

The previous prime is 1950336397. The next prime is 1950336403. The reversal of 1950336400 is 46330591.

It is an interprime number because it is at equal distance from previous prime (1950336397) and next prime (1950336403).

It can be written as a sum of positive squares in 6 ways, for example, as 1290496 + 1949045904 = 1136^2 + 44148^2 .

It is not an unprimeable number, because it can be changed into a prime (1950336403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24799 + ... + 67198.

Almost surely, 2^1950336400 is an apocalyptic number.

1950336400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1950336400 is an abundant number, since it is smaller than the sum of its proper divisors (2823807812).

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

1950336400 is a wasteful number, since it uses less digits than its factorization.

1950336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92068 (or 92057 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 1950336400 is about 44162.6131473218. The cubic root of 1950336400 is about 1249.4048153158.

Adding to 1950336400 its reverse (46330591), we get a palindrome (1996666991).

The spelling of 1950336400 in words is "one billion, nine hundred fifty million, three hundred thirty-six thousand, four hundred".