1427736020 has 48 divisors (see below), whose sum is σ = 3099144720. Its totient is φ = 552075264.

The previous prime is 1427735999. The next prime is 1427736043. The reversal of 1427736020 is 206377241.

It can be written as a sum of positive squares in 8 ways, for example, as 65092624 + 1362643396 = 8068^2 + 36914^2 .

It is a super-3 number, since 3×1427736020³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110036 + ... + 122324.

It is an arithmetic number, because the mean of its divisors is an integer number (64565515).

Almost surely, 2^1427736020 is an apocalyptic number.

1427736020 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 1427736020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549572360).

1427736020 is an abundant number, since it is smaller than the sum of its proper divisors (1671408700).

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

1427736020 is a wasteful number, since it uses less digits than its factorization.

1427736020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12492 (or 12490 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 1427736020 is about 37785.3942681560. The cubic root of 1427736020 is about 1126.0282996378.

The spelling of 1427736020 in words is "one billion, four hundred twenty-seven million, seven hundred thirty-six thousand, twenty".