1020503400 has 288 divisors, whose sum is σ = 3726815040. Its totient is φ = 230307840.

The previous prime is 1020503329. The next prime is 1020503431. The reversal of 1020503400 is 43050201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020503400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3028032 + ... + 3028368.

It is an arithmetic number, because the mean of its divisors is an integer number (12940330).

Almost surely, 2^1020503400 is an apocalyptic number.

1020503400 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 1020503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863407520).

1020503400 is an abundant number, since it is smaller than the sum of its proper divisors (2706311640).

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

1020503400 is a wasteful number, since it uses less digits than its factorization.

1020503400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1020503400 is about 31945.3189059054. The cubic root of 1020503400 is about 1006.7882816294.

Adding to 1020503400 its reverse (43050201), we get a palindrome (1063553601).

The spelling of 1020503400 in words is "one billion, twenty million, five hundred three thousand, four hundred".