1952486400 has 132 divisors (see below), whose sum is σ = 6453323072. Its totient is φ = 520642560.

The previous prime is 1952486359. The next prime is 1952486407. The reversal of 1952486400 is 46842591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952486407) 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, 64089 + ... + 89511.

Almost surely, 2^1952486400 is an apocalyptic number.

1952486400 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 1952486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226661536).

1952486400 is an abundant number, since it is smaller than the sum of its proper divisors (4500836672).

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

1952486400 is a wasteful number, since it uses less digits than its factorization.

1952486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25456 (or 25433 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1952486400 is about 44186.9482992433. The cubic root of 1952486400 is about 1249.8637504827.

The spelling of 1952486400 in words is "one billion, nine hundred fifty-two million, four hundred eighty-six thousand, four hundred".