420162960 has 160 divisors (see below), whose sum is σ = 1567042560. Its totient is φ = 90975744.

The previous prime is 420162947. The next prime is 420162983. The reversal of 420162960 is 69261024.

420162960 = T₃₁ + T₃₂ + ... + T₁₃₆₀.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25339 + ... + 38501.

It is an arithmetic number, because the mean of its divisors is an integer number (9794016).

Almost surely, 2^420162960 is an apocalyptic number.

420162960 is a gapful number since it is divisible by the number (40) 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 420162960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783521280).

420162960 is an abundant number, since it is smaller than the sum of its proper divisors (1146879600).

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

420162960 is a wasteful number, since it uses less digits than its factorization.

420162960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13205 (or 13199 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 420162960 is about 20497.8769632369. The cubic root of 420162960 is about 748.9840822807.

It can be divided in two parts, 4201 and 62960, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 420162960 in words is "four hundred twenty million, one hundred sixty-two thousand, nine hundred sixty".