1479252420 has 144 divisors (see below), whose sum is σ = 4660830720. Its totient is φ = 379353600.

The previous prime is 1479252413. The next prime is 1479252427. The reversal of 1479252420 is 242529741.

1479252420 = 213² + 214² + ... + 1644².

1479252420 is a `hidden beast` number, since 1 + 47 + 92 + 524 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1479252413) and next prime (1479252427).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1479252427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998080 + ... + 999560.

It is an arithmetic number, because the mean of its divisors is an integer number (32366880).

Almost surely, 2^1479252420 is an apocalyptic number.

1479252420 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 1479252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330415360).

1479252420 is an abundant number, since it is smaller than the sum of its proper divisors (3181578300).

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

1479252420 is a wasteful number, since it uses less digits than its factorization.

1479252420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1479252420 is about 38461.0506876762. The cubic root of 1479252420 is about 1139.4119312307.

The spelling of 1479252420 in words is "one billion, four hundred seventy-nine million, two hundred fifty-two thousand, four hundred twenty".