1054263600 has 300 divisors, whose sum is σ = 4076346736. Its totient is φ = 259407360.

The previous prime is 1054263599. The next prime is 1054263643. The reversal of 1054263600 is 63624501.

1054263600 is a `hidden beast` number, since 1 + 0 + 54 + 2 + 6 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1054263600² = 2222943476569920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 419949 + ... + 422451.

Almost surely, 2^1054263600 is an apocalyptic number.

1054263600 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 1054263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038173368).

1054263600 is an abundant number, since it is smaller than the sum of its proper divisors (3022083136).

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

1054263600 is a wasteful number, since it uses less digits than its factorization.

1054263600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1054263600 is about 32469.4256185723. The cubic root of 1054263600 is about 1017.7702156077.

The spelling of 1054263600 in words is "one billion, fifty-four million, two hundred sixty-three thousand, six hundred".