1054532400 has 60 divisors (see below), whose sum is σ = 3378022632. Its totient is φ = 281208320.

The previous prime is 1054532393. The next prime is 1054532407. The reversal of 1054532400 is 42354501.

It is an interprime number because it is at equal distance from previous prime (1054532393) and next prime (1054532407).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1054532400² = 2224077165299520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1054532407) 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 11 ways as a sum of consecutive naturals, for example, 438189 + ... + 440588.

Almost surely, 2^1054532400 is an apocalyptic number.

1054532400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054532400 is an abundant number, since it is smaller than the sum of its proper divisors (2323490232).

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

1054532400 is a wasteful number, since it uses less digits than its factorization.

1054532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878798 (or 878787 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1054532400 is about 32473.5646334060. The cubic root of 1054532400 is about 1017.8567067491.

Adding to 1054532400 its reverse (42354501), we get a palindrome (1096886901).

The spelling of 1054532400 in words is "one billion, fifty-four million, five hundred thirty-two thousand, four hundred".