1054020400 has 60 divisors (see below), whose sum is σ = 2681259192. Its totient is φ = 396805120.

The previous prime is 1054020391. The next prime is 1054020433. The reversal of 1054020400 is 40204501.

1054020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054020400² = 2221918007232320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70702 + ... + 84301.

Almost surely, 2^1054020400 is an apocalyptic number.

1054020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054020400 is an abundant number, since it is smaller than the sum of its proper divisors (1627238792).

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

1054020400 is a wasteful number, since it uses less digits than its factorization.

1054020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155038 (or 155027 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1054020400 is about 32465.6803409385. The cubic root of 1054020400 is about 1017.6919490490.

Adding to 1054020400 its reverse (40204501), we get a palindrome (1094224901).

The spelling of 1054020400 in words is "one billion, fifty-four million, twenty thousand, four hundred".