420398154352 has 240 divisors, whose sum is σ = 967085602560. Its totient is φ = 176453544960.

The previous prime is 420398154277. The next prime is 420398154353. The reversal of 420398154352 is 253451893024.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420398154353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170407423 + ... + 170409889.

It is an arithmetic number, because the mean of its divisors is an integer number (4029523344).

Almost surely, 2^420398154352 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 420398154352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483542801280).

420398154352 is an abundant number, since it is smaller than the sum of its proper divisors (546687448208).

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

420398154352 is a wasteful number, since it uses less digits than its factorization.

420398154352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

It can be divided in two parts, 420398154 and 352, that added together give a triangular number (420398506 = T₂₈₉₉₆).

The spelling of 420398154352 in words is "four hundred twenty billion, three hundred ninety-eight million, one hundred fifty-four thousand, three hundred fifty-two".