420153461 has 16 divisors (see below), whose sum is σ = 518294784. Its totient is φ = 331668864.

The previous prime is 420153457. The next prime is 420153469. The reversal of 420153461 is 164351024.

It is a cyclic number.

It is not a de Polignac number, because 420153461 - 2² = 420153457 is a prime.

It is a super-3 number, since 3×420153461³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420153461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420153469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36536 + ... + 46638.

It is an arithmetic number, because the mean of its divisors is an integer number (32393424).

Almost surely, 2^420153461 is an apocalyptic number.

It is an amenable number.

420153461 is a deficient number, since it is larger than the sum of its proper divisors (98141323).

420153461 is a wasteful number, since it uses less digits than its factorization.

420153461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10580.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 420153461 is about 20497.6452550043. The cubic root of 420153461 is about 748.9784379204.

The spelling of 420153461 in words is "four hundred twenty million, one hundred fifty-three thousand, four hundred sixty-one".