1354420320 has 384 divisors, whose sum is σ = 5120962560. Its totient is φ = 297031680.

The previous prime is 1354420313. The next prime is 1354420337. The reversal of 1354420320 is 230244531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2307067 + ... + 2307653.

It is an arithmetic number, because the mean of its divisors is an integer number (13335840).

Almost surely, 2^1354420320 is an apocalyptic number.

1354420320 is a gapful number since it is divisible by the number (10) 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 1354420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560481280).

1354420320 is an abundant number, since it is smaller than the sum of its proper divisors (3766542240).

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

1354420320 is a wasteful number, since it uses less digits than its factorization.

1354420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1354420320 is about 36802.4499184497. The cubic root of 1354420320 is about 1106.4144019448.

Adding to 1354420320 its reverse (230244531), we get a palindrome (1584664851).

The spelling of 1354420320 in words is "one billion, three hundred fifty-four million, four hundred twenty thousand, three hundred twenty".