1961254400 has 360 divisors, whose sum is σ = 5856756840. Its totient is φ = 648560640.

The previous prime is 1961254391. The next prime is 1961254403. The reversal of 1961254400 is 44521691.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961254403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33241571 + ... + 33241629.

It is an arithmetic number, because the mean of its divisors is an integer number (16268769).

Almost surely, 2^1961254400 is an apocalyptic number.

1961254400 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 1961254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928378420).

1961254400 is an abundant number, since it is smaller than the sum of its proper divisors (3895502440).

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

1961254400 is an equidigital number, since it uses as much as digits as its factorization.

1961254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 1961254400 is about 44286.0519802793. The cubic root of 1961254400 is about 1251.7318713890.

It can be divided in two parts, 196 and 1254400, that multiplied together give a square (245862400 = 15680²).

The spelling of 1961254400 in words is "one billion, nine hundred sixty-one million, two hundred fifty-four thousand, four hundred".