420901920 has 240 divisors, whose sum is σ = 1519233408. Its totient is φ = 109693440.

The previous prime is 420901919. The next prime is 420901933. The reversal of 420901920 is 29109024.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 608775 + ... + 609465.

Almost surely, 2^420901920 is an apocalyptic number.

420901920 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 420901920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759616704).

420901920 is an abundant number, since it is smaller than the sum of its proper divisors (1098331488).

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

420901920 is a wasteful number, since it uses less digits than its factorization.

420901920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 420901920 is about 20515.8943261073. The cubic root of 420901920 is about 749.4229160794.

It can be divided in two parts, 420901 and 920, that added together give a triangular number (421821 = T₉₁₈).

The spelling of 420901920 in words is "four hundred twenty million, nine hundred one thousand, nine hundred twenty".