1038772480 has 72 divisors (see below), whose sum is σ = 2522496312. Its totient is φ = 409780224.

The previous prime is 1038772451. The next prime is 1038772487. The reversal of 1038772480 is 842778301.

It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 1020930304 = 4224^2 + 31952^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038772487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87882 + ... + 98998.

It is an arithmetic number, because the mean of its divisors is an integer number (35034671).

Almost surely, 2^1038772480 is an apocalyptic number.

1038772480 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 1038772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261248156).

1038772480 is an abundant number, since it is smaller than the sum of its proper divisors (1483723832).

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

1038772480 is an equidigital number, since it uses as much as digits as its factorization.

1038772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11211 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 1038772480 is about 32229.9934843307. The cubic root of 1038772480 is about 1012.7606336092.

The spelling of 1038772480 in words is "one billion, thirty-eight million, seven hundred seventy-two thousand, four hundred eighty".