1054950400 has 297 divisors, whose sum is σ = 3150449679. Its totient is φ = 349224960.

The previous prime is 1054950397. The next prime is 1054950461. The reversal of 1054950400 is 40594501.

The square root of 1054950400 is 32480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14500864 + 1040449536 = 3808^2 + 32256^2 .

It is a super-2 number, since 2×1054950400² = 2225840692920320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 36377586 + ... + 36377614.

Almost surely, 2^1054950400 is an apocalyptic number.

1054950400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1054950400 is the 32480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054950400

1054950400 is an abundant number, since it is smaller than the sum of its proper divisors (2095499279).

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

1054950400 is an equidigital number, since it uses as much as digits as its factorization.

1054950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 1054950400 is about 1017.9911764282.

Multiplying 1054950400 by its product of nonzero digits (3600), we get a square (3797821440000 = 1948800²).

The spelling of 1054950400 in words is "one billion, fifty-four million, nine hundred fifty thousand, four hundred".