1953254400 has 264 divisors, whose sum is σ = 6685829520. Its totient is φ = 502333440.

The previous prime is 1953254399. The next prime is 1953254419. The reversal of 1953254400 is 44523591.

It is a super-2 number, since 2×1953254400² = 7630405502238720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2226762 + ... + 2227638.

Almost surely, 2^1953254400 is an apocalyptic number.

1953254400 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 1953254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342914760).

1953254400 is an abundant number, since it is smaller than the sum of its proper divisors (4732575120).

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

1953254400 is a wasteful number, since it uses less digits than its factorization.

1953254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1953254400 is about 44195.6377937914. The cubic root of 1953254400 is about 1250.0276047237.

Adding to 1953254400 its reverse (44523591), we get a palindrome (1997777991).

The spelling of 1953254400 in words is "one billion, nine hundred fifty-three million, two hundred fifty-four thousand, four hundred".