420153354 has 48 divisors (see below), whose sum is σ = 946632960. Its totient is φ = 134533440.

The previous prime is 420153353. The next prime is 420153361. The reversal of 420153354 is 453351024.

It is not an unprimeable number, because it can be changed into a prime (420153353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74854 + ... + 80270.

It is an arithmetic number, because the mean of its divisors is an integer number (19721520).

Almost surely, 2^420153354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420153354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473316480).

420153354 is an abundant number, since it is smaller than the sum of its proper divisors (526479606).

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

420153354 is a wasteful number, since it uses less digits than its factorization.

420153354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 420153354 is about 20497.6426449482. The cubic root of 420153354 is about 748.9783743399.

It can be divided in two parts, 42015 and 3354, that added together give a square (45369 = 213²).

The spelling of 420153354 in words is "four hundred twenty million, one hundred fifty-three thousand, three hundred fifty-four".