1054662400 has 216 divisors, whose sum is σ = 2901564288. Its totient is φ = 376320000.

The previous prime is 1054662397. The next prime is 1054662409. The reversal of 1054662400 is 42664501.

It is a super-2 number, since 2×1054662400² = 2224625555947520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054662409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4998295 + ... + 4998505.

It is an arithmetic number, because the mean of its divisors is an integer number (13433168).

Almost surely, 2^1054662400 is an apocalyptic number.

1054662400 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 1054662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450782144).

1054662400 is an abundant number, since it is smaller than the sum of its proper divisors (1846901888).

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

1054662400 is a wasteful number, since it uses less digits than its factorization.

1054662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1054662400 is about 32475.5661998371. The cubic root of 1054662400 is about 1017.8985312693.

The spelling of 1054662400 in words is "one billion, fifty-four million, six hundred sixty-two thousand, four hundred".