4354557480 has 576 divisors, whose sum is σ = 18788973840. Its totient is φ = 863944704.

The previous prime is 4354557457. The next prime is 4354557511. The reversal of 4354557480 is 847554534.

4354557480 is a `hidden beast` number, since 4 + 3 + 54 + 557 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 599564196 + 3754993284 = 24486^2 + 61278^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3897882 + ... + 3898998.

Almost surely, 2^4354557480 is an apocalyptic number.

4354557480 is a gapful number since it is divisible by the number (40) 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 4354557480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9394486920).

4354557480 is an abundant number, since it is smaller than the sum of its proper divisors (14434416360).

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

4354557480 is a wasteful number, since it uses less digits than its factorization.

4354557480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The square root of 4354557480 is about 65989.0709132959. The cubic root of 4354557480 is about 1632.9817928245.

It can be divided in two parts, 43545 and 57480, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 4354557480 in words is "four billion, three hundred fifty-four million, five hundred fifty-seven thousand, four hundred eighty".