1020545400 has 192 divisors, whose sum is σ = 3637267200. Its totient is φ = 231874560.

The previous prime is 1020545387. The next prime is 1020545417. The reversal of 1020545400 is 45450201.

1020545400 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 2×1020545400² = 2083025826922320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809971 + ... + 811229.

It is an arithmetic number, because the mean of its divisors is an integer number (18944100).

Almost surely, 2^1020545400 is an apocalyptic number.

1020545400 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 1020545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818633600).

1020545400 is an abundant number, since it is smaller than the sum of its proper divisors (2616721800).

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

1020545400 is a wasteful number, since it uses less digits than its factorization.

1020545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1020545400 is about 31945.9762724510. The cubic root of 1020545400 is about 1006.8020932861.

Adding to 1020545400 its reverse (45450201), we get a palindrome (1065995601).

The spelling of 1020545400 in words is "one billion, twenty million, five hundred forty-five thousand, four hundred".