420150504 has 64 divisors (see below), whose sum is σ = 1078453440. Its totient is φ = 136348160.

The previous prime is 420150473. The next prime is 420150527. The reversal of 420150504 is 405051024.

It is a super-2 number, since 2×420150504² = 353052892022908032, which contains 22 as substring.

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, 173059 + ... + 175469.

It is an arithmetic number, because the mean of its divisors is an integer number (16850835).

Almost surely, 2^420150504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420150504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539226720).

420150504 is an abundant number, since it is smaller than the sum of its proper divisors (658302936).

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

420150504 is a wasteful number, since it uses less digits than its factorization.

420150504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 420150504 is about 20497.5731246409. The cubic root of 420150504 is about 748.9766808367.

The spelling of 420150504 in words is "four hundred twenty million, one hundred fifty thousand, five hundred four".