354420528 has 320 divisors, whose sum is σ = 1238016000. Its totient is φ = 86365440.

The previous prime is 354420527. The next prime is 354420529. The reversal of 354420528 is 825024453.

It is an interprime number because it is at equal distance from previous prime (354420527) and next prime (354420529).

It is a super-2 number, since 2×354420528² = 251227821335597568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (354420527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3440925 + ... + 3441027.

It is an arithmetic number, because the mean of its divisors is an integer number (3868800).

Almost surely, 2^354420528 is an apocalyptic number.

354420528 is a gapful number since it is divisible by the number (38) 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 354420528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619008000).

354420528 is an abundant number, since it is smaller than the sum of its proper divisors (883595472).

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

354420528 is a wasteful number, since it uses less digits than its factorization.

354420528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 354420528 is about 18826.0598108048. The cubic root of 354420528 is about 707.6844008181.

The spelling of 354420528 in words is "three hundred fifty-four million, four hundred twenty thousand, five hundred twenty-eight".